102131010 has 64 divisors (see below), whose sum is σ = 273490560. Its totient is φ = 27120960.

The previous prime is 102130999. The next prime is 102131033. The reversal of 102131010 is 10131201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102130983 and 102131001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78465 + ... + 79755.

It is an arithmetic number, because the mean of its divisors is an integer number (4273290).

Almost surely, 2^102131010 is an apocalyptic number.

102131010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102131010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136745280).

102131010 is an abundant number, since it is smaller than the sum of its proper divisors (171359550).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102131010 is a wasteful number, since it uses less digits than its factorization.

102131010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 102131010 is about 10105.9888185175. The cubic root of 102131010 is about 467.4328270517.

Adding to 102131010 its reverse (10131201), we get a palindrome (112262211).

The spelling of 102131010 in words is "one hundred two million, one hundred thirty-one thousand, ten".