106362336 has 48 divisors (see below), whose sum is σ = 295629264. Its totient is φ = 33368064.

The previous prime is 106362329. The next prime is 106362341. The reversal of 106362336 is 633263601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106362336² = 22625893038753792, 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 7 ways as a sum of consecutive naturals, for example, 30955 + ... + 34218.

It is an arithmetic number, because the mean of its divisors is an integer number (6158943).

Almost surely, 2^106362336 is an apocalyptic number.

106362336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106362336 is an abundant number, since it is smaller than the sum of its proper divisors (189266928).

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

106362336 is a wasteful number, since it uses less digits than its factorization.

106362336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65203 (or 65195 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 106362336 is about 10313.2117208947. The cubic root of 106362336 is about 473.8009810936.

The spelling of 106362336 in words is "one hundred six million, three hundred sixty-two thousand, three hundred thirty-six".