107941392 has 180 divisors, whose sum is σ = 343202860. Its totient is φ = 31477248.

The previous prime is 107941367. The next prime is 107941429. The reversal of 107941392 is 293149701.

It can be written as a sum of positive squares in 2 ways, for example, as 43877376 + 64064016 = 6624^2 + 8004^2 .

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 35 ways as a sum of consecutive naturals, for example, 990234 + ... + 990342.

Almost surely, 2^107941392 is an apocalyptic number.

107941392 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 107941392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171601430).

107941392 is an abundant number, since it is smaller than the sum of its proper divisors (235261468).

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

107941392 is a wasteful number, since it uses less digits than its factorization.

107941392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 107941392 is about 10389.4846840447. The cubic root of 107941392 is about 476.1341570397.

The spelling of 107941392 in words is "one hundred seven million, nine hundred forty-one thousand, three hundred ninety-two".