102506131 has 8 divisors (see below), whose sum is σ = 126161504. Its totient is φ = 81103680.

The previous prime is 102506123. The next prime is 102506137. The reversal of 102506131 is 131605201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102506131 - 2³ = 102506123 is a prime.

It is a super-2 number, since 2×102506131² = 21015013785178322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102506099 and 102506108.

It is not an unprimeable number, because it can be changed into a prime (102506137) 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 7 ways as a sum of consecutive naturals, for example, 563130 + ... + 563311.

It is an arithmetic number, because the mean of its divisors is an integer number (15770188).

Almost surely, 2^102506131 is an apocalyptic number.

102506131 is a deficient number, since it is larger than the sum of its proper divisors (23655373).

102506131 is a wasteful number, since it uses less digits than its factorization.

102506131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126461.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 102506131 is about 10124.5311496385. The cubic root of 102506131 is about 468.0044119559.

The spelling of 102506131 in words is "one hundred two million, five hundred six thousand, one hundred thirty-one".