102757431 has 32 divisors (see below), whose sum is σ = 160153600. Its totient is φ = 57394656.

The previous prime is 102757423. The next prime is 102757441. The reversal of 102757431 is 134757201.

It is not a de Polignac number, because 102757431 - 2³ = 102757423 is a prime.

It is a super-2 number, since 2×102757431² = 21118179251439522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102757441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279810 + ... + 280176.

It is an arithmetic number, because the mean of its divisors is an integer number (5004800).

Almost surely, 2^102757431 is an apocalyptic number.

102757431 is a deficient number, since it is larger than the sum of its proper divisors (57396169).

102757431 is a wasteful number, since it uses less digits than its factorization.

102757431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643.

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 102757431 is about 10136.9340039284. The cubic root of 102757431 is about 468.3865469212.

The spelling of 102757431 in words is "one hundred two million, seven hundred fifty-seven thousand, four hundred thirty-one".