102026883072 has 104 divisors (see below), whose sum is σ = 272499629616. Its totient is φ = 33951318016.

The previous prime is 102026883071. The next prime is 102026883113. The reversal of 102026883072 is 270388620201.

It is a hoax number, since the sum of its digits (39) 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 102026883072.

It is not an unprimeable number, because it can be changed into a prime (102026883071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7574968 + ... + 7588424.

Almost surely, 2^102026883072 is an apocalyptic number.

102026883072 is a gapful number since it is divisible by the number (12) 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 102026883072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136249814808).

102026883072 is an abundant number, since it is smaller than the sum of its proper divisors (170472746544).

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

102026883072 is an equidigital number, since it uses as much as digits as its factorization.

102026883072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14101 (or 14079 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 102026883072 in words is "one hundred two billion, twenty-six million, eight hundred eighty-three thousand, seventy-two".