107913792 has 112 divisors (see below), whose sum is σ = 340595712. Its totient is φ = 29483520.

The previous prime is 107913779. The next prime is 107913797. The reversal of 107913792 is 297319701.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 107913792.

It is not an unprimeable number, because it can be changed into a prime (107913797) by changing a digit.

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, 29167 + ... + 32657.

Almost surely, 2^107913792 is an apocalyptic number.

107913792 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 107913792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170297856).

107913792 is an abundant number, since it is smaller than the sum of its proper divisors (232681920).

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

107913792 is a wasteful number, since it uses less digits than its factorization.

107913792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3536 (or 3526 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 39.

The square root of 107913792 is about 10388.1563330554. The cubic root of 107913792 is about 476.0935719818.

The spelling of 107913792 in words is "one hundred seven million, nine hundred thirteen thousand, seven hundred ninety-two".