105757661760 has 224 divisors, whose sum is σ = 343488824832. Its totient is φ = 27560632320.

The previous prime is 105757661749. The next prime is 105757661777. The reversal of 105757661760 is 67166757501.

It is a super-2 number, since 2×105757661760² (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 31 ways as a sum of consecutive naturals, for example, 9188169 + ... + 9199671.

Almost surely, 2^105757661760 is an apocalyptic number.

105757661760 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 105757661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171744412416).

105757661760 is an abundant number, since it is smaller than the sum of its proper divisors (237731163072).

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

105757661760 is a wasteful number, since it uses less digits than its factorization.

105757661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11741 (or 11731 counting only the distinct ones).

The product of its (nonzero) digits is 1852200, while the sum is 51.

The spelling of 105757661760 in words is "one hundred five billion, seven hundred fifty-seven million, six hundred sixty-one thousand, seven hundred sixty".