102075777049 has 27 divisors (see below), whose sum is σ = 110744438623. Its totient is φ = 94074074864.

The previous prime is 102075777019. The next prime is 102075777077. The reversal of 102075777049 is 940777570201.

The square root of 102075777049 is 319493.

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., 53526061449 + 48549715600 = 231357^2 + 220340^2 .

It is not a de Polignac number, because 102075777049 - 2⁵ = 102075777017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102075776993 and 102075777011.

It is not an unprimeable number, because it can be changed into a prime (102075777019) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 213101592 + ... + 213102070.

Almost surely, 2^102075777049 is an apocalyptic number.

102075777049 is the 319493-rd square number.

102075777049 is the 159747-th centered octagonal number.

It is an amenable number.

102075777049 is a deficient number, since it is larger than the sum of its proper divisors (8668661574).

102075777049 is an frugal number, since it uses more digits than its factorization.

102075777049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 864360, while the sum is 49.

Multiplying 102075777049 by its sum of digits (49), we get a square (5001713075401 = 2236451²).

The spelling of 102075777049 in words is "one hundred two billion, seventy-five million, seven hundred seventy-seven thousand, forty-nine".