102784052233009 has 45 divisors (see below), whose sum is σ = 121044220698219. Its totient is φ = 87273274415040.

The previous prime is 102784052232977. The next prime is 102784052233069. The reversal of 102784052233009 is 900332250487201.

The square root of 102784052233009 is 10138247.

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., 1811137266225 + 100972914966784 = 1345785^2 + 10048528^2 .

It is not a de Polignac number, because 102784052233009 - 2⁵ = 102784052232977 is a prime.

It is a super-2 number, since 2×102784052233009² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102784052233009.

It is not an unprimeable number, because it can be changed into a prime (102784052233069) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 56135472724 + ... + 56135474554.

Almost surely, 2^{102784052233009} is an apocalyptic number.

102784052233009 is the 10138247-th square number.

102784052233009 is the 5069124-th centered octagonal number.

It is an amenable number.

102784052233009 is a deficient number, since it is larger than the sum of its proper divisors (18260168465210).

102784052233009 is an frugal number, since it uses more digits than its factorization.

102784052233009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3916 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 102784052233009 in words is "one hundred two trillion, seven hundred eighty-four billion, fifty-two million, two hundred thirty-three thousand, nine".