106924500 has 72 divisors (see below), whose sum is σ = 337325352. Its totient is φ = 28512000.

The previous prime is 106924471. The next prime is 106924507. The reversal of 106924500 is 5429601.

106924500 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3617604 + 103306896 = 1902^2 + 10164^2 .

It is a super-2 number, since 2×106924500² = 22865697400500000, which contains 22 as substring.

106924500 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106924507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7381 + ... + 16380.

Almost surely, 2^106924500 is an apocalyptic number.

106924500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106924500 is an abundant number, since it is smaller than the sum of its proper divisors (230400852).

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

106924500 is a wasteful number, since it uses less digits than its factorization.

106924500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23786 (or 23771 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 106924500 is about 10340.4303585489. The cubic root of 106924500 is about 474.6342521508.

The spelling of 106924500 in words is "one hundred six million, nine hundred twenty-four thousand, five hundred".