102564761233 has 16 divisors (see below), whose sum is σ = 118889211456. Its totient is φ = 87445808640.

The previous prime is 102564761231. The next prime is 102564761291. The reversal of 102564761233 is 332167465201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102564761233 - 2¹ = 102564761231 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102564761231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 916116 + ... + 1021957.

It is an arithmetic number, because the mean of its divisors is an integer number (7430575716).

Almost surely, 2^102564761233 is an apocalyptic number.

It is an amenable number.

102564761233 is a deficient number, since it is larger than the sum of its proper divisors (16324450223).

102564761233 is a wasteful number, since it uses less digits than its factorization.

102564761233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938384.

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 102564761233 in words is "one hundred two billion, five hundred sixty-four million, seven hundred sixty-one thousand, two hundred thirty-three".