107088920 has 64 divisors (see below), whose sum is σ = 257368320. Its totient is φ = 40005504.

The previous prime is 107088907. The next prime is 107088929. The reversal of 107088920 is 29880701.

It is a happy number.

It is a super-2 number, since 2×107088920² = 22936073573532800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107088929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38207 + ... + 40913.

It is an arithmetic number, because the mean of its divisors is an integer number (4021380).

Almost surely, 2^107088920 is an apocalyptic number.

107088920 is a gapful number since it is divisible by the number (10) 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 107088920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128684160).

107088920 is an abundant number, since it is smaller than the sum of its proper divisors (150279400).

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

107088920 is a wasteful number, since it uses less digits than its factorization.

107088920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 35.

The square root of 107088920 is about 10348.3776506272. The cubic root of 107088920 is about 474.8774125021.

The spelling of 107088920 in words is "one hundred seven million, eighty-eight thousand, nine hundred twenty".