105140124 has 54 divisors (see below), whose sum is σ = 270674040. Its totient is φ = 34411632.

The previous prime is 105140111. The next prime is 105140173. The reversal of 105140124 is 421041501.

It is a super-2 number, since 2×105140124² = 22108891349470752, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 105140097 and 105140106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 124897 + ... + 125735.

Almost surely, 2^105140124 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 105140124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135337020).

105140124 is an abundant number, since it is smaller than the sum of its proper divisors (165533916).

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

105140124 is a wasteful number, since it uses less digits than its factorization.

105140124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 105140124 is about 10253.7858374358. The cubic root of 105140124 is about 471.9791657470.

Adding to 105140124 its reverse (421041501), we get a palindrome (526181625).

The spelling of 105140124 in words is "one hundred five million, one hundred forty thousand, one hundred twenty-four".