102310000 has 100 divisors (see below), whose sum is σ = 267095752. Its totient is φ = 37728000.

The previous prime is 102309989. The next prime is 102310001. The reversal of 102310000 is 13201.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×102310000² = 20934672200000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102310001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 129607 + ... + 130393.

Almost surely, 2^102310000 is an apocalyptic number.

102310000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133547876).

102310000 is an abundant number, since it is smaller than the sum of its proper divisors (164785752).

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

102310000 is an equidigital number, since it uses as much as digits as its factorization.

102310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 102310000 is about 10114.8405820359. The cubic root of 102310000 is about 467.7057346077.

Adding to 102310000 its reverse (13201), we get a palindrome (102323201).

The spelling of 102310000 in words is "one hundred two million, three hundred ten thousand".