105051005600 has 36 divisors (see below), whose sum is σ = 256455769374. Its totient is φ = 42020401920.

The previous prime is 105051005573. The next prime is 105051005603. The reversal of 105051005600 is 6500150501.

It can be written as a sum of positive squares in 3 ways, for example, as 101692107664 + 3358897936 = 318892^2 + 57956^2 .

It is a super-2 number, since 2×105051005600² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105051005603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65656079 + ... + 65657678.

Almost surely, 2^105051005600 is an apocalyptic number.

105051005600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105051005600 is an abundant number, since it is smaller than the sum of its proper divisors (151404763774).

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

105051005600 is a wasteful number, since it uses less digits than its factorization.

105051005600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131313777 (or 131313764 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 105051005600 in words is "one hundred five billion, fifty-one million, five thousand, six hundred".