107036928 has 54 divisors (see below), whose sum is σ = 308620494. Its totient is φ = 35678208.

The previous prime is 107036921. The next prime is 107036953. The reversal of 107036928 is 829630701.

It can be written as a sum of positive squares in only one way, i.e., 102576384 + 4460544 = 10128^2 + 2112^2 .

It is a super-2 number, since 2×107036928² = 22913807911354368, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 107036892 and 107036901.

It is not an unprimeable number, because it can be changed into a prime (107036921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20925 + ... + 25532.

Almost surely, 2^107036928 is an apocalyptic number.

107036928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

107036928 is an abundant number, since it is smaller than the sum of its proper divisors (201583566).

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

107036928 is an equidigital number, since it uses as much as digits as its factorization.

107036928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46479 (or 46462 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 107036928 is about 10345.8652610596. The cubic root of 107036928 is about 474.8005485802.

The spelling of 107036928 in words is "one hundred seven million, thirty-six thousand, nine hundred twenty-eight".