106008504 has 32 divisors (see below), whose sum is σ = 302881920. Its totient is φ = 30288096.

The previous prime is 106008503. The next prime is 106008509. The reversal of 106008504 is 405800601.

It is a super-2 number, since 2×106008504² = 22475605840636032, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106008503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 315334 + ... + 315669.

It is an arithmetic number, because the mean of its divisors is an integer number (9465060).

Almost surely, 2^106008504 is an apocalyptic number.

106008504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106008504 is an abundant number, since it is smaller than the sum of its proper divisors (196873416).

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

106008504 is a wasteful number, since it uses less digits than its factorization.

106008504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631019 (or 631015 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 106008504 is about 10296.0431234528. The cubic root of 106008504 is about 473.2750048251.

The spelling of 106008504 in words is "one hundred six million, eight thousand, five hundred four".