105557740 has 24 divisors (see below), whose sum is σ = 224345520. Its totient is φ = 41713728.

The previous prime is 105557731. The next prime is 105557761. The reversal of 105557740 is 47755501.

It is a happy number.

It is a super-2 number, since 2×105557740² = 22284872947815200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105557696 and 105557705.

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, 30135 + ... + 33454.

It is an arithmetic number, because the mean of its divisors is an integer number (9347730).

Almost surely, 2^105557740 is an apocalyptic number.

105557740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105557740 is an abundant number, since it is smaller than the sum of its proper divisors (118787780).

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

105557740 is a wasteful number, since it uses less digits than its factorization.

105557740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63681 (or 63679 counting only the distinct ones).

The product of its (nonzero) digits is 24500, while the sum is 34.

The square root of 105557740 is about 10274.1296468363. The cubic root of 105557740 is about 472.6032397608.

The spelling of 105557740 in words is "one hundred five million, five hundred fifty-seven thousand, seven hundred forty".