106760160 has 192 divisors, whose sum is σ = 402615360. Its totient is φ = 26265600.

The previous prime is 106760141. The next prime is 106760167. The reversal of 106760160 is 61067601.

It is a super-2 number, since 2×106760160² = 22795463526451200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106760167) by changing a digit.

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, 55210 + ... + 57110.

It is an arithmetic number, because the mean of its divisors is an integer number (2096955).

Almost surely, 2^106760160 is an apocalyptic number.

106760160 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 106760160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201307680).

106760160 is an abundant number, since it is smaller than the sum of its proper divisors (295855200).

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

106760160 is a wasteful number, since it uses less digits than its factorization.

106760160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 106760160 is about 10332.4808250487. The cubic root of 106760160 is about 474.3909608903.

The spelling of 106760160 in words is "one hundred six million, seven hundred sixty thousand, one hundred sixty".