106055160 has 64 divisors (see below), whose sum is σ = 320716800. Its totient is φ = 28054656.

The previous prime is 106055153. The next prime is 106055177. The reversal of 106055160 is 61550601.

It is a super-2 number, since 2×106055160² = 22495393925251200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 106055160.

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 15 ways as a sum of consecutive naturals, for example, 11761 + ... + 18719.

It is an arithmetic number, because the mean of its divisors is an integer number (5011200).

Almost surely, 2^106055160 is an apocalyptic number.

106055160 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 106055160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160358400).

106055160 is an abundant number, since it is smaller than the sum of its proper divisors (214661640).

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

106055160 is a wasteful number, since it uses less digits than its factorization.

106055160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7100 (or 7096 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 106055160 is about 10298.3085989885. The cubic root of 106055160 is about 473.3444265513.

The spelling of 106055160 in words is "one hundred six million, fifty-five thousand, one hundred sixty".