106509612 has 48 divisors (see below), whose sum is σ = 271958400. Its totient is φ = 32175360.

The previous prime is 106509587. The next prime is 106509629. The reversal of 106509612 is 216905601.

It is a super-2 number, since 2×106509612² = 22688594896781088, 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 106509612.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48964 + ... + 51092.

It is an arithmetic number, because the mean of its divisors is an integer number (5665800).

Almost surely, 2^106509612 is an apocalyptic number.

106509612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106509612 is an abundant number, since it is smaller than the sum of its proper divisors (165448788).

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

106509612 is a wasteful number, since it uses less digits than its factorization.

106509612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 106509612 is about 10320.3494126895. The cubic root of 106509612 is about 474.0195651452.

The spelling of 106509612 in words is "one hundred six million, five hundred nine thousand, six hundred twelve".