102698792400 has 120 divisors (see below), whose sum is σ = 346293197920. Its totient is φ = 25944952320.

The previous prime is 102698792341. The next prime is 102698792479. The reversal of 102698792400 is 4297896201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×102698792400³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 102698792400.

It is a congruent number.

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, 2229367 + ... + 2274966.

Almost surely, 2^102698792400 is an apocalyptic number.

102698792400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102698792400 is an abundant number, since it is smaller than the sum of its proper divisors (243594405520).

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

102698792400 is a wasteful number, since it uses less digits than its factorization.

102698792400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4504373 (or 4504362 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 102698792400 in words is "one hundred two billion, six hundred ninety-eight million, seven hundred ninety-two thousand, four hundred".