106626336 has 48 divisors (see below), whose sum is σ = 280425600. Its totient is φ = 35474688.

The previous prime is 106626313. The next prime is 106626343. The reversal of 106626336 is 633626601.

106626336 = 3438² + 3439² + ... + 3446².

It is a happy number.

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

It is a super-2 number, since 2×106626336² = 22738351057569792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106626297 and 106626306.

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, 99210 + ... + 100278.

It is an arithmetic number, because the mean of its divisors is an integer number (5842200).

Almost surely, 2^106626336 is an apocalyptic number.

106626336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106626336 is an abundant number, since it is smaller than the sum of its proper divisors (173799264).

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

106626336 is a wasteful number, since it uses less digits than its factorization.

106626336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 106626336 is about 10326.0029052872. The cubic root of 106626336 is about 474.1926614479.

The spelling of 106626336 in words is "one hundred six million, six hundred twenty-six thousand, three hundred thirty-six".