107499392 has 128 divisors (see below), whose sum is σ = 287884800. Its totient is φ = 38615040.

The previous prime is 107499373. The next prime is 107499407. The reversal of 107499392 is 293994701.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×107499392² = 23112238560739328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127709 + ... + 128547.

It is an arithmetic number, because the mean of its divisors is an integer number (2249100).

Almost surely, 2^107499392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107499392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143942400).

107499392 is an abundant number, since it is smaller than the sum of its proper divisors (180385408).

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

107499392 is a wasteful number, since it uses less digits than its factorization.

107499392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 44.

The square root of 107499392 is about 10368.1913562588. The cubic root of 107499392 is about 475.4833742344.

The spelling of 107499392 in words is "one hundred seven million, four hundred ninety-nine thousand, three hundred ninety-two".