Search a number
-
+
108108100 = 225217193347
BaseRepresentation
bin1100111000110…
…01100101000100
321112102110102201
412130121211010
5210133424400
614421044244
72451621652
oct634314504
9245373381
10108108100
115602a241
1230256684
13195221b9
1410501dd2
15975706a
hex6719944

108108100 has 72 divisors (see below), whose sum is σ = 261545760. Its totient is φ = 38545920.

The previous prime is 108108097. The next prime is 108108113. The reversal of 108108100 is 1801801.

It is a super-2 number, since 2×1081081002 = 23374722571220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30627 + ... + 33973.

It is an arithmetic number, because the mean of its divisors is an integer number (3632580).

Almost surely, 2108108100 is an apocalyptic number.

108108100 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 108108100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130772880).

108108100 is an abundant number, since it is smaller than the sum of its proper divisors (153437660).

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

108108100 is a wasteful number, since it uses less digits than its factorization.

108108100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3397 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

The square root of 108108100 is about 10397.5045082943. The cubic root of 108108100 is about 476.3791496953.

Adding to 108108100 its reverse (1801801), we get a palindrome (109909901).

The spelling of 108108100 in words is "one hundred eight million, one hundred eight thousand, one hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 76 85 95 100 170 190 323 340 380 425 475 646 850 950 1292 1615 1700 1900 3230 3347 6460 6694 8075 13388 16150 16735 32300 33470 56899 63593 66940 83675 113798 127186 167350 227596 254372 284495 317965 334700 568990 635930 1081081 1137980 1271860 1422475 1589825 2162162 2844950 3179650 4324324 5405405 5689900 6359300 10810810 21621620 27027025 54054050 108108100