105749804160 has 768 divisors, whose sum is σ = 490321278720. Its totient is φ = 20282572800.

The previous prime is 105749804143. The next prime is 105749804177. The reversal of 105749804160 is 61408947501.

105749804160 is a `hidden beast` number, since 10 + 57 + 498 + 0 + 41 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (105749804143) and next prime (105749804177).

It is a super-2 number, since 2×105749804160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 5756590 + ... + 5774930.

It is an arithmetic number, because the mean of its divisors is an integer number (638439165).

Almost surely, 2^105749804160 is an apocalyptic number.

105749804160 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 105749804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245160639360).

105749804160 is an abundant number, since it is smaller than the sum of its proper divisors (384571474560).

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

105749804160 is a wasteful number, since it uses less digits than its factorization.

105749804160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18397 (or 18382 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

It can be divided in two parts, 105749 and 804160, that added together give a palindrome (909909).

The spelling of 105749804160 in words is "one hundred five billion, seven hundred forty-nine million, eight hundred four thousand, one hundred sixty".