102400114431 has 16 divisors (see below), whose sum is σ = 144579272544. Its totient is φ = 64244649984.

The previous prime is 102400114417. The next prime is 102400114459. The reversal of 102400114431 is 134411004201.

It is not a de Polignac number, because 102400114431 - 2⁶ = 102400114367 is a prime.

It is a super-2 number, since 2×102400114431² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102400114398 and 102400114407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102400184431) 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, 445711 + ... + 635183.

It is an arithmetic number, because the mean of its divisors is an integer number (9036204534).

Almost surely, 2^102400114431 is an apocalyptic number.

102400114431 is a deficient number, since it is larger than the sum of its proper divisors (42179158113).

102400114431 is a wasteful number, since it uses less digits than its factorization.

102400114431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200090.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 102400114431 its reverse (134411004201), we get a palindrome (236811118632).

The spelling of 102400114431 in words is "one hundred two billion, four hundred million, one hundred fourteen thousand, four hundred thirty-one".