106500624 has 80 divisors (see below), whose sum is σ = 299028480. Its totient is φ = 32538240.

The previous prime is 106500623. The next prime is 106500629. The reversal of 106500624 is 426005601.

It is a super-2 number, since 2×106500624² = 22684765824778752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 106500594 and 106500603.

It is not an unprimeable number, because it can be changed into a prime (106500623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26389 + ... + 30155.

It is an arithmetic number, because the mean of its divisors is an integer number (3737856).

Almost surely, 2^106500624 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 106500624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149514240).

106500624 is an abundant number, since it is smaller than the sum of its proper divisors (192527856).

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

106500624 is a wasteful number, since it uses less digits than its factorization.

106500624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3828 (or 3822 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 106500624 is about 10319.9139531296. The cubic root of 106500624 is about 474.0062311132.

The spelling of 106500624 in words is "one hundred six million, five hundred thousand, six hundred twenty-four".