105601010130 has 96 divisors (see below), whose sum is σ = 342311868288. Its totient is φ = 21943065600.

The previous prime is 105601010129. The next prime is 105601010167. The reversal of 105601010130 is 31010106501.

105601010130 is a `hidden beast` number, since 1 + 0 + 560 + 1 + 0 + 101 + 3 + 0 = 666.

It is a super-2 number, since 2×105601010130² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7612191 + ... + 7626050.

It is an arithmetic number, because the mean of its divisors is an integer number (3565748628).

Almost surely, 2^105601010130 is an apocalyptic number.

105601010130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105601010130 is an abundant number, since it is smaller than the sum of its proper divisors (236710858158).

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

105601010130 is a wasteful number, since it uses less digits than its factorization.

105601010130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15238272 (or 15238269 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 105601010130 its reverse (31010106501), we get a palindrome (136611116631).

The spelling of 105601010130 in words is "one hundred five billion, six hundred one million, ten thousand, one hundred thirty".