102400431 has 8 divisors (see below), whose sum is σ = 156038784. Its totient is φ = 58514520.

The previous prime is 102400427. The next prime is 102400433. The reversal of 102400431 is 134004201.

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

It is not a de Polignac number, because 102400431 - 2² = 102400427 is a prime.

It is a super-2 number, since 2×102400431² = 20971696537971522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102400431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102400433) 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, 2438085 + ... + 2438126.

It is an arithmetic number, because the mean of its divisors is an integer number (19504848).

Almost surely, 2^102400431 is an apocalyptic number.

102400431 is a deficient number, since it is larger than the sum of its proper divisors (53638353).

102400431 is an equidigital number, since it uses as much as digits as its factorization.

102400431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4876221.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 102400431 is about 10119.3098084800. The cubic root of 102400431 is about 467.8434944942.

Adding to 102400431 its reverse (134004201), we get a palindrome (236404632).

It can be divided in two parts, 102400 and 431, that added together give a triangular number (102831 = T₄₅₃).

The spelling of 102400431 in words is "one hundred two million, four hundred thousand, four hundred thirty-one".