106013997 has 6 divisors (see below), whose sum is σ = 153131342. Its totient is φ = 70675992.

The previous prime is 106013983. The next prime is 106014067. The reversal of 106013997 is 799310601.

106013997 is a `hidden beast` number, since 10 + 601 + 39 + 9 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102697956 + 3316041 = 10134^2 + 1821^2 .

It is not a de Polignac number, because 106013997 - 2⁶ = 106013933 is a prime.

It is a super-2 number, since 2×106013997² = 22477935119832018, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106013927) 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 5 ways as a sum of consecutive naturals, for example, 5889658 + ... + 5889675.

Almost surely, 2^106013997 is an apocalyptic number.

It is an amenable number.

106013997 is a deficient number, since it is larger than the sum of its proper divisors (47117345).

106013997 is a wasteful number, since it uses less digits than its factorization.

106013997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11779339 (or 11779336 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 106013997 is about 10296.3098729593. The cubic root of 106013997 is about 473.2831791841.

The spelling of 106013997 in words is "one hundred six million, thirteen thousand, nine hundred ninety-seven".