106105872 has 40 divisors (see below), whose sum is σ = 277419744. Its totient is φ = 34941184.

The previous prime is 106105871. The next prime is 106105873. The reversal of 106105872 is 278501601.

It is an interprime number because it is at equal distance from previous prime (106105871) and next prime (106105873).

It is a super-2 number, since 2×106105872² = 22516912145760768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106105871) 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, 9333 + ... + 17300.

Almost surely, 2^106105872 is an apocalyptic number.

106105872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106105872 is an abundant number, since it is smaller than the sum of its proper divisors (171313872).

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

106105872 is a wasteful number, since it uses less digits than its factorization.

106105872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26727 (or 26721 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 106105872 is about 10300.7704566212. The cubic root of 106105872 is about 473.4198603085.

The spelling of 106105872 in words is "one hundred six million, one hundred five thousand, eight hundred seventy-two".