101601567 has 16 divisors (see below), whose sum is σ = 154193760. Its totient is φ = 66081600.

The previous prime is 101601553. The next prime is 101601613. The reversal of 101601567 is 765106101.

101601567 is a `hidden beast` number, since 1 + 0 + 1 + 601 + 56 + 7 = 666.

It is not a de Polignac number, because 101601567 - 2¹⁶ = 101536031 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 101601567.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101601517) 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 15 ways as a sum of consecutive naturals, for example, 44784 + ... + 46997.

It is an arithmetic number, because the mean of its divisors is an integer number (9637110).

Almost surely, 2^101601567 is an apocalyptic number.

101601567 is a deficient number, since it is larger than the sum of its proper divisors (52592193).

101601567 is an equidigital number, since it uses as much as digits as its factorization.

101601567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91831 (or 91825 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 101601567 is about 10079.7602650063. The cubic root of 101601567 is about 466.6237097080.

Adding to 101601567 its reverse (765106101), we get a palindrome (866707668).

The spelling of 101601567 in words is "one hundred one million, six hundred one thousand, five hundred sixty-seven".