105732500282160 has 160 divisors (see below), whose sum is σ = 328784732287488. Its totient is φ = 28108240988160.

The previous prime is 105732500282113. The next prime is 105732500282183. The reversal of 105732500282160 is 61282005237501.

It is a Cunningham number, because it is equal to 10282631²-1.

It is a super-2 number, since 2×105732500282160² (a number of 29 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, 102312189 + ... + 103340451.

Almost surely, 2^{105732500282160} is an apocalyptic number.

105732500282160 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 105732500282160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164392366143744).

105732500282160 is an abundant number, since it is smaller than the sum of its proper divisors (223052232005328).

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

105732500282160 is a wasteful number, since it uses less digits than its factorization.

105732500282160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029603 (or 1029597 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 105732500282160 in words is "one hundred five trillion, seven hundred thirty-two billion, five hundred million, two hundred eighty-two thousand, one hundred sixty".