105650751360 has 1024 divisors, whose sum is σ = 449410498560. Its totient is φ = 20437401600.

The previous prime is 105650751337. The next prime is 105650751379. The reversal of 105650751360 is 63157056501.

It is a super-2 number, since 2×105650751360² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 319186395 + ... + 319186725.

It is an arithmetic number, because the mean of its divisors is an integer number (438877440).

Almost surely, 2^105650751360 is an apocalyptic number.

105650751360 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 105650751360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224705249280).

105650751360 is an abundant number, since it is smaller than the sum of its proper divisors (343759747200).

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

105650751360 is a wasteful number, since it uses less digits than its factorization.

105650751360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 39.

The spelling of 105650751360 in words is "one hundred five billion, six hundred fifty million, seven hundred fifty-one thousand, three hundred sixty".