106075992 has 128 divisors (see below), whose sum is σ = 301916160. Its totient is φ = 30779520.

The previous prime is 106075973. The next prime is 106076027. The reversal of 106075992 is 299570601.

It is a super-2 number, since 2×106075992² = 22504232157568128, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106075992.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1029813 + ... + 1029915.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 2^106075992 is an apocalyptic number.

106075992 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 106075992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

106075992 is an abundant number, since it is smaller than the sum of its proper divisors (195840168).

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

106075992 is a wasteful number, since it uses less digits than its factorization.

106075992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 106075992 is about 10299.3199775519. The cubic root of 106075992 is about 473.3754169200.

The spelling of 106075992 in words is "one hundred six million, seventy-five thousand, nine hundred ninety-two".