107929164 has 72 divisors (see below), whose sum is σ = 294921648. Its totient is φ = 30629760.

The previous prime is 107929163. The next prime is 107929169. The reversal of 107929164 is 461929701.

It is not an unprimeable number, because it can be changed into a prime (107929163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101194 + ... + 102254.

It is an arithmetic number, because the mean of its divisors is an integer number (4096134).

Almost surely, 2^107929164 is an apocalyptic number.

107929164 is a gapful number since it is divisible by the number (14) 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 107929164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147460824).

107929164 is an abundant number, since it is smaller than the sum of its proper divisors (186992484).

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

107929164 is a wasteful number, since it uses less digits than its factorization.

107929164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 107929164 is about 10388.8961877574. The cubic root of 107929164 is about 476.1161769481.

The spelling of 107929164 in words is "one hundred seven million, nine hundred twenty-nine thousand, one hundred sixty-four".