106815760 has 40 divisors (see below), whose sum is σ = 262958616. Its totient is φ = 40212480.

The previous prime is 106815757. The next prime is 106815769. The reversal of 106815760 is 67518601.

It can be written as a sum of positive squares in 4 ways, for example, as 41011216 + 65804544 = 6404^2 + 8112^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106815760² = 22819213168755200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (106815769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37911 + ... + 40630.

Almost surely, 2^106815760 is an apocalyptic number.

106815760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106815760 is an abundant number, since it is smaller than the sum of its proper divisors (156142856).

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

106815760 is a wasteful number, since it uses less digits than its factorization.

106815760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78571 (or 78565 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 106815760 is about 10335.1710193881. The cubic root of 106815760 is about 474.4732998449.

The spelling of 106815760 in words is "one hundred six million, eight hundred fifteen thousand, seven hundred sixty".