102312000 has 504 divisors, whose sum is σ = 440420760. Its totient is φ = 22579200.

The previous prime is 102311999. The next prime is 102312043. The reversal of 102312000 is 213201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4064256 + 98247744 = 2016^2 + 9912^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3527986 + ... + 3528014.

Almost surely, 2^102312000 is an apocalyptic number.

102312000 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 102312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220210380).

102312000 is an abundant number, since it is smaller than the sum of its proper divisors (338108760).

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

102312000 is a wasteful number, since it uses less digits than its factorization.

102312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 102312000 is about 10114.9394461855. The cubic root of 102312000 is about 467.7087822256.

Adding to 102312000 its reverse (213201), we get a palindrome (102525201).

The spelling of 102312000 in words is "one hundred two million, three hundred twelve thousand".