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104135100 = 223523131109
BaseRepresentation
bin1100011010011…
…11100110111100
321020221121111120
412031033212330
5203124310400
614155550540
72403063606
oct615174674
9236847446
10104135100
1153866273
122aa5b450
1318760a04
14db8a176
15921eca0
hex634f9bc

104135100 has 72 divisors (see below), whose sum is σ = 302532720. Its totient is φ = 27655680.

The previous prime is 104135077. The next prime is 104135137. The reversal of 104135100 is 1531401.

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 104135100.

It is a congruent number.

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, 93346 + ... + 94454.

Almost surely, 2104135100 is an apocalyptic number.

104135100 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 104135100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151266360).

104135100 is an abundant number, since it is smaller than the sum of its proper divisors (198397620).

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

104135100 is a wasteful number, since it uses less digits than its factorization.

104135100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 104135100 is about 10204.6606998959. The cubic root of 104135100 is about 470.4704810457.

Adding to 104135100 its reverse (1531401), we get a palindrome (105666501).

The spelling of 104135100 in words is "one hundred four million, one hundred thirty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 313 626 939 1109 1252 1565 1878 2218 3130 3327 3756 4436 4695 5545 6260 6654 7825 9390 11090 13308 15650 16635 18780 22180 23475 27725 31300 33270 46950 55450 66540 83175 93900 110900 166350 332700 347117 694234 1041351 1388468 1735585 2082702 3471170 4165404 5206755 6942340 8677925 10413510 17355850 20827020 26033775 34711700 52067550 104135100