107641920 has 112 divisors (see below), whose sum is σ = 352885248. Its totient is φ = 27770880.

The previous prime is 107641883. The next prime is 107641949. The reversal of 107641920 is 29146701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27952 + ... + 31568.

Almost surely, 2^107641920 is an apocalyptic number.

107641920 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 107641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176442624).

107641920 is an abundant number, since it is smaller than the sum of its proper divisors (245243328).

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

107641920 is a wasteful number, since it uses less digits than its factorization.

107641920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3668 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 107641920 is about 10375.0624094508. The cubic root of 107641920 is about 475.6934212072.

The spelling of 107641920 in words is "one hundred seven million, six hundred forty-one thousand, nine hundred twenty".