105721749504 has 504 divisors, whose sum is σ = 363723832368. Its totient is φ = 30098718720.

The previous prime is 105721749503. The next prime is 105721749541. The reversal of 105721749504 is 405947127501.

105721749504 is a `hidden beast` number, since 1 + 0 + 5 + 72 + 1 + 74 + 9 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×105721749504² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105721749504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105721749503) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 376233844 + ... + 376234124.

Almost surely, 2^105721749504 is an apocalyptic number.

105721749504 is a gapful number since it is divisible by the number (14) 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 105721749504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181861916184).

105721749504 is an abundant number, since it is smaller than the sum of its proper divisors (258002082864).

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

105721749504 is an frugal number, since it uses more digits than its factorization.

105721749504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 105721749504 in words is "one hundred five billion, seven hundred twenty-one million, seven hundred forty-nine thousand, five hundred four".