105021655200252 has 144 divisors (see below), whose sum is σ = 310811121566400. Its totient is φ = 29272885125120.

The previous prime is 105021655200229. The next prime is 105021655200281. The reversal of 105021655200252 is 252002556120501.

105021655200252 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 21 + 65 + 520 + 0 + 2 + 52 = 666.

It is a super-2 number, since 2×105021655200252² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218478024 + ... + 218958192.

Almost surely, 2^{105021655200252} is an apocalyptic number.

105021655200252 is a gapful number since it is divisible by the number (12) 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 105021655200252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155405560783200).

105021655200252 is an abundant number, since it is smaller than the sum of its proper divisors (205789466366148).

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

105021655200252 is a wasteful number, since it uses less digits than its factorization.

105021655200252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501396 (or 501391 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 105021655200252 in words is "one hundred five trillion, twenty-one billion, six hundred fifty-five million, two hundred thousand, two hundred fifty-two".