105600005610100 has 36 divisors (see below), whose sum is σ = 229630408963200. Its totient is φ = 42151818504160.

The previous prime is 105600005610091. The next prime is 105600005610107. The reversal of 105600005610100 is 1016500006501.

It is a super-2 number, since 2×105600005610100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105600005610107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1102248610 + ... + 1102344409.

It is an arithmetic number, because the mean of its divisors is an integer number (6378622471200).

Almost surely, 2^{105600005610100} is an apocalyptic number.

105600005610100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105600005610100 is an abundant number, since it is smaller than the sum of its proper divisors (124030403353100).

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

105600005610100 is a wasteful number, since it uses less digits than its factorization.

105600005610100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204593512 (or 2204593505 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 105600005610100 its reverse (1016500006501), we get a palindrome (106616505616601).

The spelling of 105600005610100 in words is "one hundred five trillion, six hundred billion, five million, six hundred ten thousand, one hundred".