105492562560 has 864 divisors, whose sum is σ = 465929018100. Its totient is φ = 21913436160.

The previous prime is 105492562523. The next prime is 105492562589. The reversal of 105492562560 is 65265294501.

105492562560 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 9 + 25 + 62 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102210647616 + 3281914944 = 319704^2 + 57288^2 .

It is a super-2 number, since 2×105492562560² (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 an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 34149496 + ... + 34152584.

Almost surely, 2^105492562560 is an apocalyptic number.

105492562560 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 105492562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232964509050).

105492562560 is an abundant number, since it is smaller than the sum of its proper divisors (360436455540).

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

105492562560 is a wasteful number, since it uses less digits than its factorization.

105492562560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 105492562560 in words is "one hundred five billion, four hundred ninety-two million, five hundred sixty-two thousand, five hundred sixty".