107318448 has 60 divisors (see below), whose sum is σ = 301418208. Its totient is φ = 35644800.

The previous prime is 107318371. The next prime is 107318543. The reversal of 107318448 is 844813701.

It is a super-2 number, since 2×107318448² = 23034498562257408, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 11 ways as a sum of consecutive naturals, for example, 44473 + ... + 46823.

Almost surely, 2^107318448 is an apocalyptic number.

107318448 is a gapful number since it is divisible by the number (18) 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 107318448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150709104).

107318448 is an abundant number, since it is smaller than the sum of its proper divisors (194099760).

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

107318448 is a wasteful number, since it uses less digits than its factorization.

107318448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 107318448 is about 10359.4617620801. The cubic root of 107318448 is about 475.2164450317.

The spelling of 107318448 in words is "one hundred seven million, three hundred eighteen thousand, four hundred forty-eight".