101661004800 has 528 divisors, whose sum is σ = 393027275200. Its totient is φ = 25679462400.

The previous prime is 101661004703. The next prime is 101661004813. The reversal of 101661004800 is 8400166101.

101661004800 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 610 + 0 + 48 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13128930 + ... + 13136670.

Almost surely, 2^101661004800 is an apocalyptic number.

101661004800 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 101661004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196513637600).

101661004800 is an abundant number, since it is smaller than the sum of its proper divisors (291366270400).

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

101661004800 is a wasteful number, since it uses less digits than its factorization.

101661004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7799 (or 7770 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 101661004800 in words is "one hundred one billion, six hundred sixty-one million, four thousand, eight hundred".