102966912 has 48 divisors (see below), whose sum is σ = 296301330. Its totient is φ = 34321920.

The previous prime is 102966911. The next prime is 102966931. The reversal of 102966912 is 219669201.

It can be written as a sum of positive squares in only one way, i.e., 102090816 + 876096 = 10104^2 + 936^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102966911) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43539 + ... + 45842.

Almost surely, 2^102966912 is an apocalyptic number.

102966912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102966912 is an abundant number, since it is smaller than the sum of its proper divisors (193334418).

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

102966912 is an equidigital number, since it uses as much as digits as its factorization.

102966912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89401 (or 89386 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 102966912 is about 10147.2613053966. The cubic root of 102966912 is about 468.7046146992.

The spelling of 102966912 in words is "one hundred two million, nine hundred sixty-six thousand, nine hundred twelve".