101053450431 has 48 divisors (see below), whose sum is σ = 151814482560. Its totient is φ = 64695697920.

The previous prime is 101053450429. The next prime is 101053450441. The reversal of 101053450431 is 134054350101.

It is a happy number.

101053450431 is a `hidden beast` number, since 101 + 0 + 53 + 4 + 504 + 3 + 1 = 666.

It is not a de Polignac number, because 101053450431 - 2¹ = 101053450429 is a prime.

It is a super-2 number, since 2×101053450431² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101053450395 and 101053450404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101053450441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70518091 + ... + 70519523.

It is an arithmetic number, because the mean of its divisors is an integer number (3162801720).

Almost surely, 2^101053450431 is an apocalyptic number.

101053450431 is a deficient number, since it is larger than the sum of its proper divisors (50761032129).

101053450431 is a wasteful number, since it uses less digits than its factorization.

101053450431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 101053450431 in words is "one hundred one billion, fifty-three million, four hundred fifty thousand, four hundred thirty-one".