102073178400 has 144 divisors (see below), whose sum is σ = 336928310208. Its totient is φ = 26836096000.

The previous prime is 102073178399. The next prime is 102073178401. The reversal of 102073178400 is 4871370201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102073178399) and next prime (102073178401).

It is not an unprimeable number, because it can be changed into a prime (102073178401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129111 + ... + 469910.

It is an arithmetic number, because the mean of its divisors is an integer number (2339779932).

Almost surely, 2^102073178400 is an apocalyptic number.

102073178400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102073178400 is an abundant number, since it is smaller than the sum of its proper divisors (234855131808).

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

102073178400 is a wasteful number, since it uses less digits than its factorization.

102073178400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599115 (or 599102 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 102073178400 in words is "one hundred two billion, seventy-three million, one hundred seventy-eight thousand, four hundred".