106338960 has 320 divisors, whose sum is σ = 451637760. Its totient is φ = 22394880.

The previous prime is 106338941. The next prime is 106338997. The reversal of 106338960 is 69833601.

It is a happy number.

106338960 is a `hidden beast` number, since 10 + 633 + 8 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×106338960² = 22615948827763200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196290 + ... + 196830.

It is an arithmetic number, because the mean of its divisors is an integer number (1411368).

Almost surely, 2^106338960 is an apocalyptic number.

106338960 is a gapful number since it is divisible by the number (10) 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 106338960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225818880).

106338960 is an abundant number, since it is smaller than the sum of its proper divisors (345298800).

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

106338960 is a wasteful number, since it uses less digits than its factorization.

106338960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 106338960 is about 10312.0783550165. The cubic root of 106338960 is about 473.7662683571.

The spelling of 106338960 in words is "one hundred six million, three hundred thirty-eight thousand, nine hundred sixty".