105649764792 has 256 divisors, whose sum is σ = 319580190720. Its totient is φ = 28918264320.

The previous prime is 105649764769. The next prime is 105649764797. The reversal of 105649764792 is 297467946501.

It is a super-2 number, since 2×105649764792² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105649764797) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19515078 + ... + 19520490.

It is an arithmetic number, because the mean of its divisors is an integer number (1248360120).

Almost surely, 2^105649764792 is an apocalyptic number.

105649764792 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 105649764792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159790095360).

105649764792 is an abundant number, since it is smaller than the sum of its proper divisors (213930425928).

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

105649764792 is a wasteful number, since it uses less digits than its factorization.

105649764792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5515 (or 5489 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 60.

The spelling of 105649764792 in words is "one hundred five billion, six hundred forty-nine million, seven hundred sixty-four thousand, seven hundred ninety-two".