106233624 has 192 divisors, whose sum is σ = 346731840. Its totient is φ = 28753920.

The previous prime is 106233601. The next prime is 106233637. The reversal of 106233624 is 426332601.

106233624 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 33 + 624 = 666.

It is a super-2 number, since 2×106233624² = 22571165736346752, 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 47 ways as a sum of consecutive naturals, for example, 1095144 + ... + 1095240.

It is an arithmetic number, because the mean of its divisors is an integer number (1805895).

Almost surely, 2^106233624 is an apocalyptic number.

106233624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106233624 is the 6519-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106233624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173365920).

106233624 is an abundant number, since it is smaller than the sum of its proper divisors (240498216).

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

106233624 is a wasteful number, since it uses less digits than its factorization.

106233624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 106233624 is about 10306.9696807549. The cubic root of 106233624 is about 473.6097840648.

The spelling of 106233624 in words is "one hundred six million, two hundred thirty-three thousand, six hundred twenty-four".