102157461 has 24 divisors (see below), whose sum is σ = 172233984. Its totient is φ = 57132000.

The previous prime is 102157457. The next prime is 102157483. The reversal of 102157461 is 164751201.

It is a happy number.

102157461 is a `hidden beast` number, since 10 + 21 + 574 + 61 = 666.

It is not a de Polignac number, because 102157461 - 2² = 102157457 is a prime.

It is a super-2 number, since 2×102157461² = 20872293675933042, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102157411) 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 23 ways as a sum of consecutive naturals, for example, 14290 + ... + 20211.

It is an arithmetic number, because the mean of its divisors is an integer number (7176416).

Almost surely, 2^102157461 is an apocalyptic number.

It is an amenable number.

102157461 is a deficient number, since it is larger than the sum of its proper divisors (70076523).

102157461 is a wasteful number, since it uses less digits than its factorization.

102157461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34561 (or 34558 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 102157461 is about 10107.2974132554. The cubic root of 102157461 is about 467.4731771813.

The spelling of 102157461 in words is "one hundred two million, one hundred fifty-seven thousand, four hundred sixty-one".