104629590 has 96 divisors (see below), whose sum is σ = 302257440. Its totient is φ = 25743744.

The previous prime is 104629589. The next prime is 104629607. The reversal of 104629590 is 95926401.

104629590 is a `hidden beast` number, since 1 + 0 + 4 + 62 + 9 + 590 = 666.

It is a super-2 number, since 2×104629590² = 21894702207136200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44484 + ... + 46776.

It is an arithmetic number, because the mean of its divisors is an integer number (3148515).

Almost surely, 2^104629590 is an apocalyptic number.

104629590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104629590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151128720).

104629590 is an abundant number, since it is smaller than the sum of its proper divisors (197627850).

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

104629590 is a wasteful number, since it uses less digits than its factorization.

104629590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 104629590 is about 10228.8606403646. The cubic root of 104629590 is about 471.2139885284.

The spelling of 104629590 in words is "one hundred four million, six hundred twenty-nine thousand, five hundred ninety".