105681140 has 24 divisors (see below), whose sum is σ = 222573960. Its totient is φ = 42149888.

The previous prime is 105681137. The next prime is 105681167. The reversal of 105681140 is 41186501.

It can be written as a sum of positive squares in 4 ways, for example, as 1069156 + 104611984 = 1034^2 + 10228^2 .

It is a super-2 number, since 2×105681140² = 22337006703399200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 425 + ... + 14544.

It is an arithmetic number, because the mean of its divisors is an integer number (9273915).

Almost surely, 2^105681140 is an apocalyptic number.

105681140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105681140 is an abundant number, since it is smaller than the sum of its proper divisors (116892820).

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

105681140 is a wasteful number, since it uses less digits than its factorization.

105681140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15331 (or 15329 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 105681140 is about 10280.1332676187. The cubic root of 105681140 is about 472.7873302530.

The spelling of 105681140 in words is "one hundred five million, six hundred eighty-one thousand, one hundred forty".