107444880 has 120 divisors (see below), whose sum is σ = 374267712. Its totient is φ = 28646784.

The previous prime is 107444861. The next prime is 107444903. The reversal of 107444880 is 88444701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16677 + ... + 22203.

Almost surely, 2^107444880 is an apocalyptic number.

107444880 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 107444880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187133856).

107444880 is an abundant number, since it is smaller than the sum of its proper divisors (266822832).

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

107444880 is an equidigital number, since it uses as much as digits as its factorization.

107444880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5555 (or 5537 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 107444880 is about 10365.5622134065. The cubic root of 107444880 is about 475.4029894941.

It can be divided in two parts, 1074 and 44880, that added together give a palindrome (45954).

The spelling of 107444880 in words is "one hundred seven million, four hundred forty-four thousand, eight hundred eighty".