101564141 has 8 divisors (see below), whose sum is σ = 117270720. Its totient is φ = 86156928.

The previous prime is 101564131. The next prime is 101564147. The reversal of 101564141 is 141465101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101564141 - 2²² = 97369837 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101564147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74111 + ... + 75468.

It is an arithmetic number, because the mean of its divisors is an integer number (14658840).

Almost surely, 2^101564141 is an apocalyptic number.

It is an amenable number.

101564141 is a deficient number, since it is larger than the sum of its proper divisors (15706579).

101564141 is an equidigital number, since it uses as much as digits as its factorization.

101564141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149683.

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 101564141 is about 10077.9036014441. The cubic root of 101564141 is about 466.5664074300.

It can be divided in two parts, 1015 and 64141, that added together give a palindrome (65156).

The spelling of 101564141 in words is "one hundred one million, five hundred sixty-four thousand, one hundred forty-one".