106338672 has 180 divisors, whose sum is σ = 347321520. Its totient is φ = 30243840.

The previous prime is 106338647. The next prime is 106338691. The reversal of 106338672 is 276833601.

It is a happy number.

106338672 is a `hidden beast` number, since 10 + 633 + 8 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×106338672² = 22615826325447168, which contains 22 as substring.

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

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 35 ways as a sum of consecutive naturals, for example, 296029 + ... + 296387.

It is an arithmetic number, because the mean of its divisors is an integer number (1929564).

Almost surely, 2^106338672 is an apocalyptic number.

106338672 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 106338672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173660760).

106338672 is an abundant number, since it is smaller than the sum of its proper divisors (240982848).

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

106338672 is a wasteful number, since it uses less digits than its factorization.

106338672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 106338672 is about 10312.0643907997. The cubic root of 106338672 is about 473.7658406531.

The spelling of 106338672 in words is "one hundred six million, three hundred thirty-eight thousand, six hundred seventy-two".