106875072 has 112 divisors (see below), whose sum is σ = 317317120. Its totient is φ = 35271936.

The previous prime is 106875059. The next prime is 106875077. The reversal of 106875072 is 270578601.

It is a super-2 number, since 2×106875072² = 22844562030010368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106875077) 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, 219213 + ... + 219699.

Almost surely, 2^106875072 is an apocalyptic number.

106875072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106875072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158658560).

106875072 is an abundant number, since it is smaller than the sum of its proper divisors (210442048).

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

106875072 is a wasteful number, since it uses less digits than its factorization.

106875072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 106875072 is about 10338.0400463531. The cubic root of 106875072 is about 474.5611044695.

The spelling of 106875072 in words is "one hundred six million, eight hundred seventy-five thousand, seventy-two".