107149392 has 240 divisors, whose sum is σ = 369754112. Its totient is φ = 29393280.

The previous prime is 107149391. The next prime is 107149397. The reversal of 107149392 is 293941701.

107149392 is a `hidden beast` number, since 10 + 71 + 493 + 92 = 666.

It is a super-2 number, since 2×107149392² = 22961984411939328, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107149391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 843633 + ... + 843759.

Almost surely, 2^107149392 is an apocalyptic number.

107149392 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 107149392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184877056).

107149392 is an abundant number, since it is smaller than the sum of its proper divisors (262604720).

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

107149392 is a wasteful number, since it uses less digits than its factorization.

107149392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 170 counting only the distinct ones).

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

The square root of 107149392 is about 10351.2990489117. The cubic root of 107149392 is about 474.9667817952.

The spelling of 107149392 in words is "one hundred seven million, one hundred forty-nine thousand, three hundred ninety-two".