106105747 has 12 divisors (see below), whose sum is σ = 122769640. Its totient is φ = 91380960.

The previous prime is 106105697. The next prime is 106105771. The reversal of 106105747 is 747501601.

It is a de Polignac number, because none of the positive numbers 2^k-106105747 is a prime.

It is a super-2 number, since 2×106105747² = 22516859092856018, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (106105147) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 20778 + ... + 25375.

Almost surely, 2^106105747 is an apocalyptic number.

106105747 is a deficient number, since it is larger than the sum of its proper divisors (16663893).

106105747 is a wasteful number, since it uses less digits than its factorization.

106105747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46194 (or 46183 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 106105747 is about 10300.7643891121. The cubic root of 106105747 is about 473.4196744014.

The spelling of 106105747 in words is "one hundred six million, one hundred five thousand, seven hundred forty-seven".