101660457600 has 1152 divisors, whose sum is σ = 425397772800. Its totient is φ = 22892544000.

The previous prime is 101660457553. The next prime is 101660457611. The reversal of 101660457600 is 6754066101.

101660457600 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 6 + 0 + 45 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 220521370 + ... + 220521830.

It is an arithmetic number, because the mean of its divisors is an integer number (369268900).

Almost surely, 2^101660457600 is an apocalyptic number.

101660457600 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 101660457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212698886400).

101660457600 is an abundant number, since it is smaller than the sum of its proper divisors (323737315200).

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

101660457600 is a wasteful number, since it uses less digits than its factorization.

101660457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 101660457600 in words is "one hundred one billion, six hundred sixty million, four hundred fifty-seven thousand, six hundred".