102292996 has 27 divisors (see below), whose sum is σ = 194341791. Its totient is φ = 47090784.

The previous prime is 102292973. The next prime is 102293003. The reversal of 102292996 is 699292201.

102292996 = 2053² + 2054² + ... + 2076².

The square root of 102292996 is 10114.

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

It can be written as a sum of positive squares in 4 ways, for example, as 39312900 + 62980096 = 6270^2 + 7936^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 262770 + ... + 263158.

Almost surely, 2^102292996 is an apocalyptic number.

102292996 is the 10114-th square number.

It is an amenable number.

102292996 is a deficient number, since it is larger than the sum of its proper divisors (92048795).

102292996 is an equidigital number, since it uses as much as digits as its factorization.

102292996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The cubic root of 102292996 is about 467.6798221555.

It can be divided in two parts, 10229 and 2996, that added together give a square (13225 = 115²).

The spelling of 102292996 in words is "one hundred two million, two hundred ninety-two thousand, nine hundred ninety-six".