105941513124 has 18 divisors (see below), whose sum is σ = 267796602710. Its totient is φ = 35313837696.

The previous prime is 105941513123. The next prime is 105941513179. The reversal of 105941513124 is 421315149501.

105941513124 is a `hidden beast` number, since 1 + 0 + 594 + 1 + 51 + 3 + 12 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102656160000 + 3285353124 = 320400^2 + 57318^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×105941513124² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2942819809 = 105941513124 / (1 + 0 + 5 + 9 + 4 + 1 + 5 + 1 + 3 + 1 + 2 + 4).

It is not an unprimeable number, because it can be changed into a prime (105941513123) 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, 1471409869 + ... + 1471409940.

Almost surely, 2^105941513124 is an apocalyptic number.

It is an amenable number.

105941513124 is an abundant number, since it is smaller than the sum of its proper divisors (161855089586).

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

105941513124 is a wasteful number, since it uses less digits than its factorization.

105941513124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942819819 (or 2942819814 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 105941513124 in words is "one hundred five billion, nine hundred forty-one million, five hundred thirteen thousand, one hundred twenty-four".