104965632 has 100 divisors (see below), whose sum is σ = 313418556. Its totient is φ = 34974720.

The previous prime is 104965591. The next prime is 104965639. The reversal of 104965632 is 236569401.

It is a happy number.

104965632 is a `hidden beast` number, since 1 + 0 + 4 + 96 + 563 + 2 = 666.

It is a super-2 number, since 2×104965632² = 22035567802318848, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104965639) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 40207 + ... + 42737.

Almost surely, 2^104965632 is an apocalyptic number.

104965632 is a gapful number since it is divisible by the number (12) 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 104965632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156709278).

104965632 is an abundant number, since it is smaller than the sum of its proper divisors (208452924).

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

104965632 is an frugal number, since it uses more digits than its factorization.

104965632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561 (or 2536 counting only the distinct ones).

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

The square root of 104965632 is about 10245.2736420264. The cubic root of 104965632 is about 471.7179201269.

The spelling of 104965632 in words is "one hundred four million, nine hundred sixty-five thousand, six hundred thirty-two".