106624527 has 24 divisors (see below), whose sum is σ = 157616256. Its totient is φ = 63980928.

The previous prime is 106624489. The next prime is 106624547. The reversal of 106624527 is 725426601.

It is not a de Polignac number, because 106624527 - 2¹² = 106620431 is a prime.

It is a super-2 number, since 2×106624527² = 22737579515947458, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106624547) 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, 17268 + ... + 22614.

It is an arithmetic number, because the mean of its divisors is an integer number (6567344).

Almost surely, 2^106624527 is an apocalyptic number.

106624527 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

106624527 is a deficient number, since it is larger than the sum of its proper divisors (50991729).

106624527 is a wasteful number, since it uses less digits than its factorization.

106624527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5407 (or 5390 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 106624527 is about 10325.9153105185. The cubic root of 106624527 is about 474.1899797484.

The spelling of 106624527 in words is "one hundred six million, six hundred twenty-four thousand, five hundred twenty-seven".