107495424 has 135 divisors (see below), whose sum is σ = 322460047. Its totient is φ = 35831808.

The previous prime is 107495419. The next prime is 107495429. The reversal of 107495424 is 424594701.

It is a happy number.

The square root of 107495424 is 10368.

It is a perfect power (a square), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)³ ⋅ (3!)⁵.

107495424 is a `hidden beast` number, since 107 + 4 + 9 + 542 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (107495419) and next prime (107495429).

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=72.

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

It is a Duffinian number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (107495429) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35831807 + 35831808 + 35831809.

Almost surely, 2^107495424 is an apocalyptic number.

107495424 is the 10368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107495424

107495424 is an abundant number, since it is smaller than the sum of its proper divisors (214964623).

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

107495424 is an frugal number, since it uses more digits than its factorization.

107495424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The cubic root of 107495424 is about 475.4775238408.

Multiplying 107495424 by its sum of digits (36), we get a square (3869835264 = 62208²).

107495424 divided by its sum of digits (36) gives a 6-th power (2985984 = 12⁶).

The spelling of 107495424 in words is "one hundred seven million, four hundred ninety-five thousand, four hundred twenty-four".