106365760 has 28 divisors (see below), whose sum is σ = 253284228. Its totient is φ = 42546176.

The previous prime is 106365757. The next prime is 106365803. The reversal of 106365760 is 67563601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 28643904 + 77721856 = 5352^2 + 8816^2 .

It is a super-2 number, since 2×106365760² = 22627349800755200, 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 3 ways as a sum of consecutive naturals, for example, 165877 + ... + 166516.

Almost surely, 2^106365760 is an apocalyptic number.

106365760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106365760 is an abundant number, since it is smaller than the sum of its proper divisors (146918468).

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

106365760 is an equidigital number, since it uses as much as digits as its factorization.

106365760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332410 (or 332400 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 106365760 is about 10313.3777202234. The cubic root of 106365760 is about 473.8060652152.

The spelling of 106365760 in words is "one hundred six million, three hundred sixty-five thousand, seven hundred sixty".