102876072049 has 9 divisors (see below), whose sum is σ = 105459924619. Its totient is φ = 100354069840.

The previous prime is 102876072043. The next prime is 102876072107. The reversal of 102876072049 is 940270678201.

The square root of 102876072049 is 320743.

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., 4957145649 + 97918926400 = 70407^2 + 312920^2 .

It is not a de Polignac number, because 102876072049 - 2³ = 102876072041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102876072041) 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, 13146552 + ... + 13154374.

Almost surely, 2^102876072049 is an apocalyptic number.

102876072049 is the 320743-rd square number.

102876072049 is the 160372-nd centered octagonal number.

It is an amenable number.

102876072049 is a deficient number, since it is larger than the sum of its proper divisors (2583852570).

102876072049 is an frugal number, since it uses more digits than its factorization.

102876072049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15728 (or 7864 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 102876072049 in words is "one hundred two billion, eight hundred seventy-six million, seventy-two thousand, forty-nine".