104629536 has 192 divisors, whose sum is σ = 339292800. Its totient is φ = 31104000.

The previous prime is 104629529. The next prime is 104629541. The reversal of 104629536 is 635926401.

It is a happy number.

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 104629536.

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, 959850 + ... + 959958.

It is an arithmetic number, because the mean of its divisors is an integer number (1767150).

Almost surely, 2^104629536 is an apocalyptic number.

104629536 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 104629536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169646400).

104629536 is an abundant number, since it is smaller than the sum of its proper divisors (234663264).

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

104629536 is a wasteful number, since it uses less digits than its factorization.

104629536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 104629536 is about 10228.8580007741. The cubic root of 104629536 is about 471.2139074629.

The spelling of 104629536 in words is "one hundred four million, six hundred twenty-nine thousand, five hundred thirty-six".