105141212124 has 96 divisors (see below), whose sum is σ = 279066568704. Its totient is φ = 30579413760.

The previous prime is 105141212123. The next prime is 105141212159. The reversal of 105141212124 is 421212141501.

It is a super-2 number, since 2×105141212124² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105141212094 and 105141212103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105141212123) 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, 44859 + ... + 460754.

It is an arithmetic number, because the mean of its divisors is an integer number (2906943424).

Almost surely, 2^105141212124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105141212124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139533284352).

105141212124 is an abundant number, since it is smaller than the sum of its proper divisors (173925356580).

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

105141212124 is a wasteful number, since it uses less digits than its factorization.

105141212124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505707 (or 505705 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

Adding to 105141212124 its reverse (421212141501), we get a palindrome (526353353625).

The spelling of 105141212124 in words is "one hundred five billion, one hundred forty-one million, two hundred twelve thousand, one hundred twenty-four".