105934266360 has 384 divisors, whose sum is σ = 387282168000. Its totient is φ = 24938938368.

The previous prime is 105934266359. The next prime is 105934266377. The reversal of 105934266360 is 63662439501.

105934266360 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 3 + 4 + 2 + 6 + 636 + 0 = 666.

It is a super-2 number, since 2×105934266360² (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 a congruent number.

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, 10211256 + ... + 10221624.

Almost surely, 2^105934266360 is an apocalyptic number.

105934266360 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 105934266360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193641084000).

105934266360 is an abundant number, since it is smaller than the sum of its proper divisors (281347901640).

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

105934266360 is a wasteful number, since it uses less digits than its factorization.

105934266360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10495 (or 10488 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 105934266360 in words is "one hundred five billion, nine hundred thirty-four million, two hundred sixty-six thousand, three hundred sixty".