105610060100 has 18 divisors (see below), whose sum is σ = 229173830634. Its totient is φ = 42244024000.

The previous prime is 105610060091. The next prime is 105610060117. The reversal of 105610060100 is 1060016501.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 113720896 + 105496339204 = 10664^2 + 324802^2 .

It is a super-2 number, since 2×105610060100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 528050201 + ... + 528050400.

Almost surely, 2^105610060100 is an apocalyptic number.

105610060100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105610060100 is an abundant number, since it is smaller than the sum of its proper divisors (123563770534).

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

105610060100 is a wasteful number, since it uses less digits than its factorization.

105610060100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056100615 (or 1056100608 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 105610060100 its reverse (1060016501), we get a palindrome (106670076601).

The spelling of 105610060100 in words is "one hundred five billion, six hundred ten million, sixty thousand, one hundred".