106311560 has 32 divisors (see below), whose sum is σ = 239587200. Its totient is φ = 42456000.

The previous prime is 106311547. The next prime is 106311563. The reversal of 106311560 is 65113601.

It is a happy number.

It is a super-2 number, since 2×106311560² = 22604295579267200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106311563) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 28271 + ... + 31809.

It is an arithmetic number, because the mean of its divisors is an integer number (7487100).

Almost surely, 2^106311560 is an apocalyptic number.

106311560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106311560 is an abundant number, since it is smaller than the sum of its proper divisors (133275640).

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

106311560 is a wasteful number, since it uses less digits than its factorization.

106311560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4301 (or 4297 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 106311560 is about 10310.7497302573. The cubic root of 106311560 is about 473.7255736113.

The spelling of 106311560 in words is "one hundred six million, three hundred eleven thousand, five hundred sixty".