106153320 has 128 divisors (see below), whose sum is σ = 391991040. Its totient is φ = 22394880.

The previous prime is 106153297. The next prime is 106153337. The reversal of 106153320 is 23351601.

It is a super-2 number, since 2×106153320² = 22537054694044800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 6060 + ... + 15780.

It is an arithmetic number, because the mean of its divisors is an integer number (3062430).

Almost surely, 2^106153320 is an apocalyptic number.

106153320 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 106153320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195995520).

106153320 is an abundant number, since it is smaller than the sum of its proper divisors (285837720).

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

106153320 is a wasteful number, since it uses less digits than its factorization.

106153320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9755 (or 9751 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 106153320 is about 10303.0733278959. The cubic root of 106153320 is about 473.4904171264.

The spelling of 106153320 in words is "one hundred six million, one hundred fifty-three thousand, three hundred twenty".