102664683100 has 72 divisors (see below), whose sum is σ = 255033100448. Its totient is φ = 35140608000.

The previous prime is 102664683097. The next prime is 102664683109. The reversal of 102664683100 is 1386466201.

It is a happy number.

It is a super-2 number, since 2×102664683100² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 102664683100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102664683109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298684 + ... + 542716.

Almost surely, 2^102664683100 is an apocalyptic number.

102664683100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102664683100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127516550224).

102664683100 is an abundant number, since it is smaller than the sum of its proper divisors (152368417348).

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

102664683100 is a wasteful number, since it uses less digits than its factorization.

102664683100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244655 (or 244648 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 102664683100 in words is "one hundred two billion, six hundred sixty-four million, six hundred eighty-three thousand, one hundred".