102312672 has 96 divisors (see below), whose sum is σ = 334865664. Its totient is φ = 26572800.

The previous prime is 102312643. The next prime is 102312673. The reversal of 102312672 is 276213201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102312673) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 472 + ... + 14312.

It is an arithmetic number, because the mean of its divisors is an integer number (3488184).

Almost surely, 2^102312672 is an apocalyptic number.

102312672 is a gapful number since it is divisible by the number (12) 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 102312672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167432832).

102312672 is an abundant number, since it is smaller than the sum of its proper divisors (232552992).

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

102312672 is a wasteful number, since it uses less digits than its factorization.

102312672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13872 (or 13864 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 102312672 is about 10114.9726643229. The cubic root of 102312672 is about 467.7098062163.

Adding to 102312672 its reverse (276213201), we get a palindrome (378525873).

It can be divided in two parts, 1023 and 12672, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 102312672 in words is "one hundred two million, three hundred twelve thousand, six hundred seventy-two".