106362160 has 40 divisors (see below), whose sum is σ = 248979600. Its totient is φ = 42254592.

The previous prime is 106362131. The next prime is 106362163. The reversal of 106362160 is 61263601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106362160² = 22625818159731200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106362163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7459 + ... + 16381.

It is an arithmetic number, because the mean of its divisors is an integer number (6224490).

Almost surely, 2^106362160 is an apocalyptic number.

106362160 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 106362160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124489800).

106362160 is an abundant number, since it is smaller than the sum of its proper divisors (142617440).

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

106362160 is a wasteful number, since it uses less digits than its factorization.

106362160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9085 (or 9079 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 106362160 is about 10313.2031881467. The cubic root of 106362160 is about 473.8007197573.

The spelling of 106362160 in words is "one hundred six million, three hundred sixty-two thousand, one hundred sixty".