102813572400 has 1920 divisors, whose sum is σ = 469487093760. Its totient is φ = 18579456000.

The previous prime is 102813572357. The next prime is 102813572401. The reversal of 102813572400 is 4275318201.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (102813572401) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1685468370 + ... + 1685468430.

It is an arithmetic number, because the mean of its divisors is an integer number (244524528).

Almost surely, 2^102813572400 is an apocalyptic number.

102813572400 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 102813572400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234743546880).

102813572400 is an abundant number, since it is smaller than the sum of its proper divisors (366673521360).

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

102813572400 is a wasteful number, since it uses less digits than its factorization.

102813572400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 102813572400 in words is "one hundred two billion, eight hundred thirteen million, five hundred seventy-two thousand, four hundred".