106972110 has 64 divisors (see below), whose sum is σ = 326016000. Its totient is φ = 24450336.

The previous prime is 106972091. The next prime is 106972121. The reversal of 106972110 is 11279601.

It is a super-2 number, since 2×106972110² = 22886064635704200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26410 + ... + 30189.

It is an arithmetic number, because the mean of its divisors is an integer number (5094000).

Almost surely, 2^106972110 is an apocalyptic number.

106972110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106972110 is an abundant number, since it is smaller than the sum of its proper divisors (219043890).

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

106972110 is a wasteful number, since it uses less digits than its factorization.

106972110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56622 (or 56616 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 106972110 is about 10342.7322308953. The cubic root of 106972110 is about 474.7046880927.

The spelling of 106972110 in words is "one hundred six million, nine hundred seventy-two thousand, one hundred ten".