107638953 has 8 divisors (see below), whose sum is σ = 145871616. Its totient is φ = 70582800.

The previous prime is 107638943. The next prime is 107638961. The reversal of 107638953 is 359836701.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 107638953 - 2²⁴ = 90861737 is a prime.

It is a super-2 number, since 2×107638953² = 23172288405872418, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (107638943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 293913 + ... + 294278.

It is an arithmetic number, because the mean of its divisors is an integer number (18233952).

Almost surely, 2^107638953 is an apocalyptic number.

It is an amenable number.

107638953 is a deficient number, since it is larger than the sum of its proper divisors (38232663).

107638953 is an equidigital number, since it uses as much as digits as its factorization.

107638953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588255.

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 107638953 is about 10374.9194213738. The cubic root of 107638953 is about 475.6890505575.

The spelling of 107638953 in words is "one hundred seven million, six hundred thirty-eight thousand, nine hundred fifty-three".