105632181760 has 80 divisors (see below), whose sum is σ = 289451090016. Its totient is φ = 36216741888.

The previous prime is 105632181731. The next prime is 105632181793. The reversal of 105632181760 is 67181236501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105632181760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2929407 + ... + 2965246.

Almost surely, 2^105632181760 is an apocalyptic number.

105632181760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105632181760 is an abundant number, since it is smaller than the sum of its proper divisors (183818908256).

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

105632181760 is an frugal number, since it uses more digits than its factorization.

105632181760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5894683 (or 5894667 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 105632181760 in words is "one hundred five billion, six hundred thirty-two million, one hundred eighty-one thousand, seven hundred sixty".