105140544 has 112 divisors (see below), whose sum is σ = 300654720. Its totient is φ = 32327680.

The previous prime is 105140543. The next prime is 105140549. The reversal of 105140544 is 445041501.

It is a happy number.

It is a super-2 number, since 2×105140544² = 22109067985231872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105140543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127654 + ... + 128474.

Almost surely, 2^105140544 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 105140544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150327360).

105140544 is an abundant number, since it is smaller than the sum of its proper divisors (195514176).

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

105140544 is a wasteful number, since it uses less digits than its factorization.

105140544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 105140544 is about 10253.8063176559. The cubic root of 105140544 is about 471.9797942131.

The spelling of 105140544 in words is "one hundred five million, one hundred forty thousand, five hundred forty-four".