102827822800 has 60 divisors (see below), whose sum is σ = 251705100780. Its totient is φ = 40355061760.

The previous prime is 102827822753. The next prime is 102827822807. The reversal of 102827822800 is 8228728201.

It can be written as a sum of positive squares in 6 ways, for example, as 5011507264 + 97816315536 = 70792^2 + 312756^2 .

It is a super-2 number, since 2×102827822800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102827822807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2403985 + ... + 2446384.

It is an arithmetic number, because the mean of its divisors is an integer number (4195085013).

Almost surely, 2^102827822800 is an apocalyptic number.

102827822800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102827822800 is an abundant number, since it is smaller than the sum of its proper divisors (148877277980).

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

102827822800 is a wasteful number, since it uses less digits than its factorization.

102827822800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4850440 (or 4850429 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

The spelling of 102827822800 in words is "one hundred two billion, eight hundred twenty-seven million, eight hundred twenty-two thousand, eight hundred".