104971632 has 40 divisors (see below), whose sum is σ = 282969984. Its totient is φ = 33468864.

The previous prime is 104971631. The next prime is 104971639. The reversal of 104971632 is 236179401.

It is a super-2 number, since 2×104971632² = 22038087049486848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104971593 and 104971602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104971631) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 46438 + ... + 48645.

Almost surely, 2^104971632 is an apocalyptic number.

104971632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104971632 is an abundant number, since it is smaller than the sum of its proper divisors (177998352).

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

104971632 is a wasteful number, since it uses less digits than its factorization.

104971632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95117 (or 95111 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 104971632 is about 10245.5664557895. The cubic root of 104971632 is about 471.7269080008.

The spelling of 104971632 in words is "one hundred four million, nine hundred seventy-one thousand, six hundred thirty-two".