107418528 has 96 divisors (see below), whose sum is σ = 358081920. Its totient is φ = 30689280.

The previous prime is 107418497. The next prime is 107418541. The reversal of 107418528 is 825814701.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 107418492 and 107418501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2833 + ... + 14928.

It is an arithmetic number, because the mean of its divisors is an integer number (3730020).

Almost surely, 2^107418528 is an apocalyptic number.

107418528 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 107418528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179040960).

107418528 is an abundant number, since it is smaller than the sum of its proper divisors (250663392).

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

107418528 is a wasteful number, since it uses less digits than its factorization.

107418528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17787 (or 17773 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 107418528 is about 10364.2910032476. The cubic root of 107418528 is about 475.3641204358.

The spelling of 107418528 in words is "one hundred seven million, four hundred eighteen thousand, five hundred twenty-eight".