107572129 has 16 divisors (see below), whose sum is σ = 130636800. Its totient is φ = 86523984.

The previous prime is 107572123. The next prime is 107572159. The reversal of 107572129 is 921275701.

It is a cyclic number.

It is not a de Polignac number, because 107572129 - 2¹¹ = 107570081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 107572094 and 107572103.

It is not an unprimeable number, because it can be changed into a prime (107572123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10452 + ... + 18010.

It is an arithmetic number, because the mean of its divisors is an integer number (8164800).

Almost surely, 2^107572129 is an apocalyptic number.

107572129 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

107572129 is a deficient number, since it is larger than the sum of its proper divisors (23064671).

107572129 is a wasteful number, since it uses less digits than its factorization.

107572129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7692.

The product of its (nonzero) digits is 8820, while the sum is 34.

The square root of 107572129 is about 10371.6984626434. The cubic root of 107572129 is about 475.5905916987.

It can be divided in two parts, 107572 and 129, that added together give a palindrome (107701).

The spelling of 107572129 in words is "one hundred seven million, five hundred seventy-two thousand, one hundred twenty-nine".