106302627 has 24 divisors (see below), whose sum is σ = 162384768. Its totient is φ = 66902400.

The previous prime is 106302617. The next prime is 106302629. The reversal of 106302627 is 726203601.

It is a happy number.

106302627 is a `hidden beast` number, since 1 + 0 + 6 + 30 + 2 + 627 = 666.

It is not a de Polignac number, because 106302627 - 2⁴ = 106302611 is a prime.

It is a super-2 number, since 2×106302627² = 22600497014202258, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106302627.

It is not an unprimeable number, because it can be changed into a prime (106302629) 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, 6793 + ... + 16085.

It is an arithmetic number, because the mean of its divisors is an integer number (6766032).

Almost surely, 2^106302627 is an apocalyptic number.

106302627 is a deficient number, since it is larger than the sum of its proper divisors (56082141).

106302627 is a wasteful number, since it uses less digits than its factorization.

106302627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9371 (or 9368 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 106302627 is about 10310.3165324834. The cubic root of 106302627 is about 473.7123047216.

It can be divided in two parts, 106302 and 627, that added together give a square (106929 = 327²).

The spelling of 106302627 in words is "one hundred six million, three hundred two thousand, six hundred twenty-seven".