102881098800 has 90 divisors (see below), whose sum is σ = 357026003412. Its totient is φ = 27434958720.

The previous prime is 102881098781. The next prime is 102881098807. The reversal of 102881098800 is 8890188201.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×102881098800² (a number of 23 digits) contains 22 as substring.

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 (102881098807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14285442 + ... + 14292641.

Almost surely, 2^102881098800 is an apocalyptic number.

102881098800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102881098800 is an abundant number, since it is smaller than the sum of its proper divisors (254144904612).

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

102881098800 is a wasteful number, since it uses less digits than its factorization.

102881098800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28578107 (or 28578093 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 45.

The spelling of 102881098800 in words is "one hundred two billion, eight hundred eighty-one million, ninety-eight thousand, eight hundred".