104975136 has 192 divisors, whose sum is σ = 370863360. Its totient is φ = 28200960.

The previous prime is 104975107. The next prime is 104975141. The reversal of 104975136 is 631579401.

It is a super-2 number, since 2×104975136² = 22039558356436992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 104975136.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102306 + ... + 103326.

It is an arithmetic number, because the mean of its divisors is an integer number (1931580).

Almost surely, 2^104975136 is an apocalyptic number.

104975136 is a gapful number since it is divisible by the number (16) 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 104975136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185431680).

104975136 is an abundant number, since it is smaller than the sum of its proper divisors (265888224).

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

104975136 is a wasteful number, since it uses less digits than its factorization.

104975136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 104975136 is about 10245.7374551567. The cubic root of 104975136 is about 471.7321567608.

It can be divided in two parts, 104975 and 136, that added together give a triangular number (105111 = T₄₅₈).

The spelling of 104975136 in words is "one hundred four million, nine hundred seventy-five thousand, one hundred thirty-six".