101996567 has 16 divisors (see below), whose sum is σ = 107956800. Its totient is φ = 96230400.

The previous prime is 101996563. The next prime is 101996569. The reversal of 101996567 is 765699101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101996567 - 2² = 101996563 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101996563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283934 + ... + 284292.

It is an arithmetic number, because the mean of its divisors is an integer number (6747300).

Almost surely, 2^101996567 is an apocalyptic number.

101996567 is a deficient number, since it is larger than the sum of its proper divisors (5960233).

101996567 is a wasteful number, since it uses less digits than its factorization.

101996567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586.

The product of its (nonzero) digits is 102060, while the sum is 44.

The square root of 101996567 is about 10099.3349781062. The cubic root of 101996567 is about 467.2276309125.

The spelling of 101996567 in words is "one hundred one million, nine hundred ninety-six thousand, five hundred sixty-seven".