102407031 has 48 divisors (see below), whose sum is σ = 165754080. Its totient is φ = 62265600.

The previous prime is 102406991. The next prime is 102407051. The reversal of 102407031 is 130704201.

It is not a de Polignac number, because 102407031 - 2²¹ = 100309879 is a prime.

It is a super-2 number, since 2×102407031² = 20974399996469922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102406995 and 102407013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102407051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1013881 + ... + 1013981.

It is an arithmetic number, because the mean of its divisors is an integer number (3453210).

Almost surely, 2^102407031 is an apocalyptic number.

102407031 is a deficient number, since it is larger than the sum of its proper divisors (63347049).

102407031 is a wasteful number, since it uses less digits than its factorization.

102407031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 102407031 is about 10119.6359124229. The cubic root of 102407031 is about 467.8535455610.

It can be divided in two parts, 10240 and 7031, that added together give a palindrome (17271).

The spelling of 102407031 in words is "one hundred two million, four hundred seven thousand, thirty-one".