102076876800 has 864 divisors, whose sum is σ = 392107716000. Its totient is φ = 25303449600.

The previous prime is 102076876799. The next prime is 102076876801. The reversal of 102076876800 is 8678670201.

It is an interprime number because it is at equal distance from previous prime (102076876799) and next prime (102076876801).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (102076876801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 779212735 + ... + 779212865.

It is an arithmetic number, because the mean of its divisors is an integer number (453828375).

Almost surely, 2^102076876800 is an apocalyptic number.

102076876800 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 102076876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196053858000).

102076876800 is an abundant number, since it is smaller than the sum of its proper divisors (290030839200).

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

102076876800 is a wasteful number, since it uses less digits than its factorization.

102076876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 102076876800 in words is "one hundred two billion, seventy-six million, eight hundred seventy-six thousand, eight hundred".