107225360 has 160 divisors (see below), whose sum is σ = 294088320. Its totient is φ = 36241920.

The previous prime is 107225353. The next prime is 107225381. The reversal of 107225360 is 63522701.

It is a super-2 number, since 2×107225360² = 22994555654259200, which contains 22 as substring.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2023094 + ... + 2023146.

It is an arithmetic number, because the mean of its divisors is an integer number (1838052).

Almost surely, 2^107225360 is an apocalyptic number.

107225360 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 107225360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147044160).

107225360 is an abundant number, since it is smaller than the sum of its proper divisors (186862960).

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

107225360 is a wasteful number, since it uses less digits than its factorization.

107225360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 107225360 is about 10354.9678898585. The cubic root of 107225360 is about 475.0790044027.

The spelling of 107225360 in words is "one hundred seven million, two hundred twenty-five thousand, three hundred sixty".