107953392 has 80 divisors (see below), whose sum is σ = 287902208. Its totient is φ = 34836480.

The previous prime is 107953381. The next prime is 107953403. The reversal of 107953392 is 293359701.

It is an interprime number because it is at equal distance from previous prime (107953381) and next prime (107953403).

It is a self number, because there is not a number n which added to its sum of digits gives 107953392.

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, 398217 + ... + 398487.

Almost surely, 2^107953392 is an apocalyptic number.

107953392 is a gapful number since it is divisible by the number (12) 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 107953392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143951104).

107953392 is an abundant number, since it is smaller than the sum of its proper divisors (179948816).

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

107953392 is a wasteful number, since it uses less digits than its factorization.

107953392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 39.

The square root of 107953392 is about 10390.0621749824. The cubic root of 107953392 is about 476.1518005592.

It can be divided in two parts, 107953 and 392, that added together give a triangular number (108345 = T₄₆₅).

The spelling of 107953392 in words is "one hundred seven million, nine hundred fifty-three thousand, three hundred ninety-two".