106624470 has 32 divisors (see below), whose sum is σ = 259723008. Its totient is φ = 28008288.

The previous prime is 106624451. The next prime is 106624489. The reversal of 106624470 is 74426601.

It is an interprime number because it is at equal distance from previous prime (106624451) and next prime (106624489).

It is a super-3 number, since 3×106624470³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24514 + ... + 28533.

It is an arithmetic number, because the mean of its divisors is an integer number (8116344).

Almost surely, 2^106624470 is an apocalyptic number.

106624470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106624470 is an abundant number, since it is smaller than the sum of its proper divisors (153098538).

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

106624470 is a wasteful number, since it uses less digits than its factorization.

106624470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53124.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 106624470 is about 10325.9125504722. The cubic root of 106624470 is about 474.1898952500.

The spelling of 106624470 in words is "one hundred six million, six hundred twenty-four thousand, four hundred seventy".