106380144 has 60 divisors (see below), whose sum is σ = 320623576. Its totient is φ = 32731776.

The previous prime is 106380133. The next prime is 106380167. The reversal of 106380144 is 441083601.

106380144 is a `hidden beast` number, since 10 + 638 + 0 + 14 + 4 = 666.

It is a super-2 number, since 2×106380144² = 22633470074921472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26542 + ... + 30285.

Almost surely, 2^106380144 is an apocalyptic number.

It is an amenable number.

106380144 is an abundant number, since it is smaller than the sum of its proper divisors (214243432).

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

106380144 is a wasteful number, since it uses less digits than its factorization.

106380144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56854 (or 56845 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 106380144 is about 10314.0750433570. The cubic root of 106380144 is about 473.8274220856.

The spelling of 106380144 in words is "one hundred six million, three hundred eighty thousand, one hundred forty-four".