102180430800 has 840 divisors, whose sum is σ = 425325438144. Its totient is φ = 23096586240.

The previous prime is 102180430783. The next prime is 102180430801. The reversal of 102180430800 is 8034081201.

102180430800 is a `hidden beast` number, since 10 + 218 + 0 + 430 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102180430801) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 230655379 + ... + 230655821.

Almost surely, 2^102180430800 is an apocalyptic number.

102180430800 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 102180430800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212662719072).

102180430800 is an abundant number, since it is smaller than the sum of its proper divisors (323145007344).

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

102180430800 is a wasteful number, since it uses less digits than its factorization.

102180430800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 102180430800 in words is "one hundred two billion, one hundred eighty million, four hundred thirty thousand, eight hundred".