102096231815824 has 45 divisors (see below), whose sum is σ = 206787764434153. Its totient is φ = 48828188019776.

The previous prime is 102096231815821. The next prime is 102096231815827. The reversal of 102096231815824 is 428518132690201.

It is a happy number.

The square root of 102096231815824 is 10104268.

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

It is an interprime number because it is at equal distance from previous prime (102096231815821) and next prime (102096231815827).

It can be written as a sum of positive squares in only one way, i.e., 38883555406224 + 63212676409600 = 6235668^2 + 7950640^2 .

It is a super-3 number, since 3×102096231815824³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102096231815821) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 929537742 + ... + 929647570.

Almost surely, 2^{102096231815824} is an apocalyptic number.

102096231815824 is the 10104268-th square number.

It is an amenable number.

102096231815824 is an abundant number, since it is smaller than the sum of its proper divisors (104691532618329).

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

102096231815824 is an frugal number, since it uses more digits than its factorization.

102096231815824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219712 (or 109854 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 52.

The spelling of 102096231815824 in words is "one hundred two trillion, ninety-six billion, two hundred thirty-one million, eight hundred fifteen thousand, eight hundred twenty-four".