106244880 has 80 divisors (see below), whose sum is σ = 376416384. Its totient is φ = 24284160.

The previous prime is 106244833. The next prime is 106244891. The reversal of 106244880 is 88442601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106244880² = 22575949052428800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 29941 + ... + 33300.

Almost surely, 2^106244880 is an apocalyptic number.

106244880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106244880 is an abundant number, since it is smaller than the sum of its proper divisors (270171504).

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

106244880 is a wasteful number, since it uses less digits than its factorization.

106244880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63264 (or 63258 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 106244880 is about 10307.5157045721. The cubic root of 106244880 is about 473.6265106066.

The spelling of 106244880 in words is "one hundred six million, two hundred forty-four thousand, eight hundred eighty".