107221312 has 112 divisors (see below), whose sum is σ = 254568960. Its totient is φ = 44390400.

The previous prime is 107221307. The next prime is 107221319. The reversal of 107221312 is 213122701.

It is a super-2 number, since 2×107221312² = 22992819494002688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107221312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107221319) 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, 3458737 + ... + 3458767.

Almost surely, 2^107221312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127284480).

107221312 is an abundant number, since it is smaller than the sum of its proper divisors (147347648).

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

107221312 is an equidigital number, since it uses as much as digits as its factorization.

107221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 107221312 is about 10354.7724262777. The cubic root of 107221312 is about 475.0730258916.

The spelling of 107221312 in words is "one hundred seven million, two hundred twenty-one thousand, three hundred twelve".