106315860 has 48 divisors (see below), whose sum is σ = 340212096. Its totient is φ = 24300672.

The previous prime is 106315799. The next prime is 106315861. The reversal of 106315860 is 68513601.

It is a super-2 number, since 2×106315860² = 22606124175079200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106315861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126147 + ... + 126986.

It is an arithmetic number, because the mean of its divisors is an integer number (7087752).

Almost surely, 2^106315860 is an apocalyptic number.

106315860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106315860 is an abundant number, since it is smaller than the sum of its proper divisors (233896236).

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

106315860 is a wasteful number, since it uses less digits than its factorization.

106315860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253152 (or 253150 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 106315860 is about 10310.9582483880. The cubic root of 106315860 is about 473.7319604755.

The spelling of 106315860 in words is "one hundred six million, three hundred fifteen thousand, eight hundred sixty".