109026624 has 112 divisors (see below), whose sum is σ = 344107008. Its totient is φ = 29787648.

The previous prime is 109026613. The next prime is 109026637. The reversal of 109026624 is 426620901.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 109026591 and 109026600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29149 + ... + 32675.

It is an arithmetic number, because the mean of its divisors is an integer number (3072384).

Almost surely, 2^109026624 is an apocalyptic number.

109026624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109026624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172053504).

109026624 is an abundant number, since it is smaller than the sum of its proper divisors (235080384).

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

109026624 is a wasteful number, since it uses less digits than its factorization.

109026624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3572 (or 3562 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 109026624 is about 10441.5814894105. The cubic root of 109026624 is about 477.7245076037.

The spelling of 109026624 in words is "one hundred nine million, twenty-six thousand, six hundred twenty-four".