107888445 has 72 divisors (see below), whose sum is σ = 219970296. Its totient is φ = 48771072.

The previous prime is 107888413. The next prime is 107888461. The reversal of 107888445 is 544888701.

It can be written as a sum of positive squares in 4 ways, for example, as 5433561 + 102454884 = 2331^2 + 10122^2 .

It is not a de Polignac number, because 107888445 - 2⁵ = 107888413 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 107888445.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 248949 + ... + 249381.

It is an arithmetic number, because the mean of its divisors is an integer number (3055143).

Almost surely, 2^107888445 is an apocalyptic number.

107888445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107888445 is an abundant number, since it is smaller than the sum of its proper divisors (112081851).

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

107888445 is a wasteful number, since it uses less digits than its factorization.

107888445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 107888445 is about 10386.9362662914. The cubic root of 107888445 is about 476.0562938036.

The spelling of 107888445 in words is "one hundred seven million, eight hundred eighty-eight thousand, four hundred forty-five".