107348256 has 72 divisors (see below), whose sum is σ = 315822780. Its totient is φ = 34546176.

The previous prime is 107348239. The next prime is 107348273. The reversal of 107348256 is 652843701.

It is an interprime number because it is at equal distance from previous prime (107348239) and next prime (107348273).

It can be written as a sum of positive squares in 2 ways, for example, as 105760656 + 1587600 = 10284^2 + 1260^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 107348256.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1926 + ... + 14778.

Almost surely, 2^107348256 is an apocalyptic number.

107348256 is a gapful number since it is divisible by the number (16) 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 107348256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157911390).

107348256 is an abundant number, since it is smaller than the sum of its proper divisors (208474524).

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

107348256 is a wasteful number, since it uses less digits than its factorization.

107348256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12898 (or 12887 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 107348256 is about 10360.9003469776. The cubic root of 107348256 is about 475.2604385257.

The spelling of 107348256 in words is "one hundred seven million, three hundred forty-eight thousand, two hundred fifty-six".