106311912 has 64 divisors (see below), whose sum is σ = 314236800. Its totient is φ = 29326080.

The previous prime is 106311901. The next prime is 106311967. The reversal of 106311912 is 219113601.

It is a super-2 number, since 2×106311912² = 22604445266191488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6039 + ... + 15782.

It is an arithmetic number, because the mean of its divisors is an integer number (4909950).

Almost surely, 2^106311912 is an apocalyptic number.

106311912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106311912 is an abundant number, since it is smaller than the sum of its proper divisors (207924888).

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

106311912 is a wasteful number, since it uses less digits than its factorization.

106311912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21866 (or 21862 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 106311912 is about 10310.7667998069. The cubic root of 106311912 is about 473.7260964494.

The spelling of 106311912 in words is "one hundred six million, three hundred eleven thousand, nine hundred twelve".