106374912 has 144 divisors (see below), whose sum is σ = 331226112. Its totient is φ = 29675520.

The previous prime is 106374881. The next prime is 106374913. The reversal of 106374912 is 219473601.

It is a super-2 number, since 2×106374912² = 22631243806015488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106374913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252462 + ... + 252882.

Almost surely, 2^106374912 is an apocalyptic number.

106374912 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 106374912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165613056).

106374912 is an abundant number, since it is smaller than the sum of its proper divisors (224851200).

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

106374912 is an equidigital number, since it uses as much as digits as its factorization.

106374912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 106374912 is about 10313.8214062490. The cubic root of 106374912 is about 473.8196540140.

The spelling of 106374912 in words is "one hundred six million, three hundred seventy-four thousand, nine hundred twelve".