102409131 has 16 divisors (see below), whose sum is σ = 149149440. Its totient is φ = 61986720.

The previous prime is 102409129. The next prime is 102409147. The reversal of 102409131 is 131904201.

It is not a de Polignac number, because 102409131 - 2¹ = 102409129 is a prime.

It is a super-2 number, since 2×102409131² = 20975260224350322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102409098 and 102409107.

It is not an unprimeable number, because it can be changed into a prime (102409171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33826 + ... + 36728.

It is an arithmetic number, because the mean of its divisors is an integer number (9321840).

Almost surely, 2^102409131 is an apocalyptic number.

102409131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102409131 is a deficient number, since it is larger than the sum of its proper divisors (46740309).

102409131 is a wasteful number, since it uses less digits than its factorization.

102409131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3986.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 102409131 is about 10119.7396705647. The cubic root of 102409131 is about 467.8567435372.

The spelling of 102409131 in words is "one hundred two million, four hundred nine thousand, one hundred thirty-one".