107104932 has 72 divisors (see below), whose sum is σ = 296648352. Its totient is φ = 32313600.

The previous prime is 107104931. The next prime is 107104993. The reversal of 107104932 is 239401701.

It is a super-2 number, since 2×107104932² = 22942932917449248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107104896 and 107104905.

It is not an unprimeable number, because it can be changed into a prime (107104931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121132 + ... + 122012.

It is an arithmetic number, because the mean of its divisors is an integer number (4120116).

Almost surely, 2^107104932 is an apocalyptic number.

107104932 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 107104932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148324176).

107104932 is an abundant number, since it is smaller than the sum of its proper divisors (189543420).

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

107104932 is a wasteful number, since it uses less digits than its factorization.

107104932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 107104932 is about 10349.1512695486. The cubic root of 107104932 is about 474.9010793085.

The spelling of 107104932 in words is "one hundred seven million, one hundred four thousand, nine hundred thirty-two".