102971424 has 48 divisors (see below), whose sum is σ = 270835488. Its totient is φ = 34255872.

The previous prime is 102971423. The next prime is 102971441. The reversal of 102971424 is 424179201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×102971424² = 21206228321175552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102971391 and 102971400.

It is not an unprimeable number, because it can be changed into a prime (102971423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78744 + ... + 80040.

It is an arithmetic number, because the mean of its divisors is an integer number (5642406).

Almost surely, 2^102971424 is an apocalyptic number.

It is an amenable number.

102971424 is an abundant number, since it is smaller than the sum of its proper divisors (167864064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102971424 is a wasteful number, since it uses less digits than its factorization.

102971424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 102971424 is about 10147.4836289594. The cubic root of 102971424 is about 468.7114607960.

The spelling of 102971424 in words is "one hundred two million, nine hundred seventy-one thousand, four hundred twenty-four".