Search a number
-
+
104441100 = 223521973251
BaseRepresentation
bin1100011100110…
…10010100001100
321021112011020220
412032122110030
5203214103400
614210311340
72405510001
oct616322414
9237464226
10104441100
1153a55165
122ab88550
131883a08a
14dc298a8
1592807a0
hex639a50c

104441100 has 144 divisors (see below), whose sum is σ = 323729280. Its totient is φ = 25920000.

The previous prime is 104441087. The next prime is 104441159. The reversal of 104441100 is 1144401.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 104441100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 415975 + ... + 416225.

It is an arithmetic number, because the mean of its divisors is an integer number (2248120).

Almost surely, 2104441100 is an apocalyptic number.

104441100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161864640).

104441100 is an abundant number, since it is smaller than the sum of its proper divisors (219288180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104441100 is a wasteful number, since it uses less digits than its factorization.

104441100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 104441100 is about 10219.6428509024. The cubic root of 104441100 is about 470.9308547483.

Adding to 104441100 its reverse (1144401), we get a palindrome (105585501).

The spelling of 104441100 in words is "one hundred four million, four hundred forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 73 75 76 95 100 114 146 150 190 219 228 251 285 292 300 365 380 438 475 502 570 730 753 876 950 1004 1095 1140 1255 1387 1425 1460 1506 1825 1900 2190 2510 2774 2850 3012 3650 3765 4161 4380 4769 5020 5475 5548 5700 6275 6935 7300 7530 8322 9538 10950 12550 13870 14307 15060 16644 18323 18825 19076 20805 21900 23845 25100 27740 28614 34675 36646 37650 41610 47690 54969 57228 69350 71535 73292 75300 83220 91615 95380 104025 109938 119225 138700 143070 183230 208050 219876 238450 274845 286140 348137 357675 366460 416100 458075 476900 549690 696274 715350 916150 1044411 1099380 1374225 1392548 1430700 1740685 1832300 2088822 2748450 3481370 4177644 5222055 5496900 6962740 8703425 10444110 17406850 20888220 26110275 34813700 52220550 104441100