106365144 has 32 divisors (see below), whose sum is σ = 272099520. Its totient is φ = 34630176.

The previous prime is 106365137. The next prime is 106365227. The reversal of 106365144 is 441563601.

It is a super-2 number, since 2×106365144² = 22627087716281472, 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50502 + ... + 52565.

It is an arithmetic number, because the mean of its divisors is an integer number (8503110).

Almost surely, 2^106365144 is an apocalyptic number.

It is an amenable number.

106365144 is an abundant number, since it is smaller than the sum of its proper divisors (165734376).

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

106365144 is a wasteful number, since it uses less digits than its factorization.

106365144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103119 (or 103115 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 106365144 is about 10313.3478560553. The cubic root of 106365144 is about 473.8051505565.

The spelling of 106365144 in words is "one hundred six million, three hundred sixty-five thousand, one hundred forty-four".