102417957 has 12 divisors (see below), whose sum is σ = 148104684. Its totient is φ = 68201280.

The previous prime is 102417949. The next prime is 102417971. The reversal of 102417957 is 759714201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 34503876 + 67914081 = 5874^2 + 8241^2 .

It is not a de Polignac number, because 102417957 - 2³ = 102417949 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102417977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2607 + ... + 14547.

It is an arithmetic number, because the mean of its divisors is an integer number (12342057).

Almost surely, 2^102417957 is an apocalyptic number.

It is an amenable number.

102417957 is a deficient number, since it is larger than the sum of its proper divisors (45686727).

102417957 is a wasteful number, since it uses less digits than its factorization.

102417957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12900 (or 12897 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 102417957 is about 10120.1757395808. The cubic root of 102417957 is about 467.8701836962.

It can be divided in two parts, 1024 and 17957, that added together give a palindrome (18981).

The spelling of 102417957 in words is "one hundred two million, four hundred seventeen thousand, nine hundred fifty-seven".