102098078400 has 168 divisors, whose sum is σ = 345772662784. Its totient is φ = 26347852800.

The previous prime is 102098078399. The next prime is 102098078437. The reversal of 102098078400 is 4870890201.

102098078400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102098078400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194272 + ... + 491871.

Almost surely, 2^102098078400 is an apocalyptic number.

102098078400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102098078400 is an abundant number, since it is smaller than the sum of its proper divisors (243674584384).

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

102098078400 is a wasteful number, since it uses less digits than its factorization.

102098078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686199 (or 686184 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 102098078400 in words is "one hundred two billion, ninety-eight million, seventy-eight thousand, four hundred".