101431568 has 60 divisors (see below), whose sum is σ = 232141392. Its totient is φ = 42799680.

The previous prime is 101431567. The next prime is 101431621. The reversal of 101431568 is 865134101.

It is a self number, because there is not a number n which added to its sum of digits gives 101431568.

It is not an unprimeable number, because it can be changed into a prime (101431567) 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 11 ways as a sum of consecutive naturals, for example, 51563 + ... + 53493.

Almost surely, 2^101431568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101431568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116070696).

101431568 is an abundant number, since it is smaller than the sum of its proper divisors (130709824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101431568 is a wasteful number, since it uses less digits than its factorization.

101431568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 101431568 is about 10071.3240440371. The cubic root of 101431568 is about 466.3633139620.

Adding to 101431568 its reverse (865134101), we get a palindrome (966565669).

It can be divided in two parts, 10143 and 1568, that added together give a palindrome (11711).

The spelling of 101431568 in words is "one hundred one million, four hundred thirty-one thousand, five hundred sixty-eight".