106364160 has 216 divisors, whose sum is σ = 420900480. Its totient is φ = 24293376.

The previous prime is 106364143. The next prime is 106364171. The reversal of 106364160 is 61463601.

106364160 is a `hidden beast` number, since 10 + 6 + 3 + 641 + 6 + 0 = 666.

It is a super-2 number, since 2×106364160² = 22626669065011200, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 79981 + ... + 81299.

Almost surely, 2^106364160 is an apocalyptic number.

106364160 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 106364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210450240).

106364160 is an abundant number, since it is smaller than the sum of its proper divisors (314536320).

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

106364160 is a wasteful number, since it uses less digits than its factorization.

106364160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 106364160 is about 10313.3001507762. The cubic root of 106364160 is about 473.8036894710.

The spelling of 106364160 in words is "one hundred six million, three hundred sixty-four thousand, one hundred sixty".