101664635444400 has 480 divisors, whose sum is σ = 398145647047680. Its totient is φ = 21645237288960.

The previous prime is 101664635444399. The next prime is 101664635444429. The reversal of 101664635444400 is 4444536466101.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 101664635444400.

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, 10181821 + ... + 17521379.

It is an arithmetic number, because the mean of its divisors is an integer number (829470098016).

Almost surely, 2^{101664635444400} is an apocalyptic number.

101664635444400 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 101664635444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199072823523840).

101664635444400 is an abundant number, since it is smaller than the sum of its proper divisors (296481011603280).

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

101664635444400 is a wasteful number, since it uses less digits than its factorization.

101664635444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7339701 (or 7339690 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 101664635444400 in words is "one hundred one trillion, six hundred sixty-four billion, six hundred thirty-five million, four hundred forty-four thousand, four hundred".