106890624 has 128 divisors (see below), whose sum is σ = 319096800. Its totient is φ = 35223552.

The previous prime is 106890613. The next prime is 106890631. The reversal of 106890624 is 426098601.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×106890624² = 22851210998218752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 542494 + ... + 542690.

Almost surely, 2^106890624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106890624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159548400).

106890624 is an abundant number, since it is smaller than the sum of its proper divisors (212206176).

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

106890624 is a wasteful number, since it uses less digits than its factorization.

106890624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 106890624 is about 10338.7921925146. The cubic root of 106890624 is about 474.5841220488.

The spelling of 106890624 in words is "one hundred six million, eight hundred ninety thousand, six hundred twenty-four".