102376961296 has 45 divisors (see below), whose sum is σ = 203415558789. Its totient is φ = 49914384000.

The previous prime is 102376961273. The next prime is 102376961329. The reversal of 102376961296 is 692169673201.

It is a happy number.

The square root of 102376961296 is 319964.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4933095696 + 97443865600 = 70236^2 + 312160^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 52473121 + ... + 52475071.

Almost surely, 2^102376961296 is an apocalyptic number.

102376961296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

102376961296 is the 319964-th square number.

It is an amenable number.

102376961296 is a deficient number, since it is larger than the sum of its proper divisors (101038597493).

102376961296 is an frugal number, since it uses more digits than its factorization.

102376961296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3992 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 52.

The spelling of 102376961296 in words is "one hundred two billion, three hundred seventy-six million, nine hundred sixty-one thousand, two hundred ninety-six".