102554051200 has 192 divisors, whose sum is σ = 264078097920. Its totient is φ = 39309004800.

The previous prime is 102554051191. The next prime is 102554051203. The reversal of 102554051200 is 2150455201.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (102554051203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10212582 + ... + 10222618.

It is an arithmetic number, because the mean of its divisors is an integer number (1375406760).

Almost surely, 2^102554051200 is an apocalyptic number.

102554051200 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 102554051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132039048960).

102554051200 is an abundant number, since it is smaller than the sum of its proper divisors (161524046720).

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

102554051200 is a wasteful number, since it uses less digits than its factorization.

102554051200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10195 (or 10178 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The spelling of 102554051200 in words is "one hundred two billion, five hundred fifty-four million, fifty-one thousand, two hundred".