105781140 has 240 divisors, whose sum is σ = 368831232. Its totient is φ = 25242624.

The previous prime is 105781139. The next prime is 105781201. The reversal of 105781140 is 41187501.

It is a super-2 number, since 2×105781140² = 22379299159399200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 633337 + ... + 633503.

Almost surely, 2^105781140 is an apocalyptic number.

105781140 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 105781140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184415616).

105781140 is an abundant number, since it is smaller than the sum of its proper divisors (263050092).

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

105781140 is a wasteful number, since it uses less digits than its factorization.

105781140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 105781140 is about 10284.9958677678. The cubic root of 105781140 is about 472.9364070844.

The spelling of 105781140 in words is "one hundred five million, seven hundred eighty-one thousand, one hundred forty".