106652160 has 160 divisors (see below), whose sum is σ = 379082880. Its totient is φ = 28422144.

The previous prime is 106652131. The next prime is 106652191. The reversal of 106652160 is 61256601.

It is a happy number.

106652160 is a `hidden beast` number, since 1 + 0 + 6 + 652 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×106652160² = 22749366465331200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68349 + ... + 69891.

It is an arithmetic number, because the mean of its divisors is an integer number (2369268).

Almost surely, 2^106652160 is an apocalyptic number.

106652160 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 106652160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189541440).

106652160 is an abundant number, since it is smaller than the sum of its proper divisors (272430720).

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

106652160 is an equidigital number, since it uses as much as digits as its factorization.

106652160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 106652160 is about 10327.2532650265. The cubic root of 106652160 is about 474.2309401800.

The spelling of 106652160 in words is "one hundred six million, six hundred fifty-two thousand, one hundred sixty".