101560166400 has 1152 divisors, whose sum is σ = 433652244480. Its totient is φ = 20348928000.

The previous prime is 101560166363. The next prime is 101560166417. The reversal of 101560166400 is 4661065101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 366643062 + ... + 366643338.

It is an arithmetic number, because the mean of its divisors is an integer number (376434240).

Almost surely, 2^101560166400 is an apocalyptic number.

101560166400 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 101560166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216826122240).

101560166400 is an abundant number, since it is smaller than the sum of its proper divisors (332092078080).

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

101560166400 is a wasteful number, since it uses less digits than its factorization.

101560166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 101560166400 in words is "one hundred one billion, five hundred sixty million, one hundred sixty-six thousand, four hundred".