105600001010 has 64 divisors (see below), whose sum is σ = 228719566080. Its totient is φ = 34292367360.

The previous prime is 105600000959. The next prime is 105600001019. The reversal of 105600001010 is 10100006501.

It is a super-2 number, since 2×105600001010² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (105600001019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10210562 + ... + 10220898.

It is an arithmetic number, because the mean of its divisors is an integer number (3573743220).

Almost surely, 2^105600001010 is an apocalyptic number.

105600001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105600001010 is an abundant number, since it is smaller than the sum of its proper divisors (123119565070).

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

105600001010 is a wasteful number, since it uses less digits than its factorization.

105600001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18051.

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 105600001010 its reverse (10100006501), we get a palindrome (115700007511).

The spelling of 105600001010 in words is "one hundred five billion, six hundred million, one thousand, ten".