105880140 has 72 divisors (see below), whose sum is σ = 326468688. Its totient is φ = 27768960.

The previous prime is 105880133. The next prime is 105880157. The reversal of 105880140 is 41088501.

It is a super-2 number, since 2×105880140² = 22421208092839200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6159 + ... + 15801.

Almost surely, 2^105880140 is an apocalyptic number.

105880140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105880140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163234344).

105880140 is an abundant number, since it is smaller than the sum of its proper divisors (220588548).

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

105880140 is a wasteful number, since it uses less digits than its factorization.

105880140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9719 (or 9714 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 105880140 is about 10289.8075783758. The cubic root of 105880140 is about 473.0839006277.

It can be divided in two parts, 1058801 and 40, that added together give a square (1058841 = 1029²).

The spelling of 105880140 in words is "one hundred five million, eight hundred eighty thousand, one hundred forty".