105153345792 has 216 divisors, whose sum is σ = 331080317568. Its totient is φ = 31832371200.

The previous prime is 105153345757. The next prime is 105153345809. The reversal of 105153345792 is 297543351501.

105153345792 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 533 + 45 + 79 + 2 = 666.

It is a super-2 number, since 2×105153345792² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40118242 + ... + 40120862.

It is an arithmetic number, because the mean of its divisors is an integer number (1532779248).

Almost surely, 2^105153345792 is an apocalyptic number.

105153345792 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 105153345792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165540158784).

105153345792 is an abundant number, since it is smaller than the sum of its proper divisors (225926971776).

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

105153345792 is a wasteful number, since it uses less digits than its factorization.

105153345792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4237 (or 4220 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 105153345792 in words is "one hundred five billion, one hundred fifty-three million, three hundred forty-five thousand, seven hundred ninety-two".