101043884160 has 320 divisors, whose sum is σ = 363624940800. Its totient is φ = 26737551360.

The previous prime is 101043884129. The next prime is 101043884177. The reversal of 101043884160 is 61488340101.

It is a happy number.

101043884160 is a `hidden beast` number, since 10 + 104 + 388 + 4 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×101043884160² (a number of 23 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 6783601 + ... + 6798479.

It is an arithmetic number, because the mean of its divisors is an integer number (1136327940).

Almost surely, 2^101043884160 is an apocalyptic number.

101043884160 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 101043884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181812470400).

101043884160 is an abundant number, since it is smaller than the sum of its proper divisors (262581056640).

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

101043884160 is a wasteful number, since it uses less digits than its factorization.

101043884160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15041 (or 15020 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 101043884160 in words is "one hundred one billion, forty-three million, eight hundred eighty-four thousand, one hundred sixty".