101537032168 has 64 divisors (see below), whose sum is σ = 224035499520. Its totient is φ = 42532473600.

The previous prime is 101537032141. The next prime is 101537032169. The reversal of 101537032168 is 861230735101.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (101537032169) 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 15 ways as a sum of consecutive naturals, for example, 621298 + ... + 767518.

It is an arithmetic number, because the mean of its divisors is an integer number (3500554680).

Almost surely, 2^101537032168 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 101537032168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112017749760).

101537032168 is an abundant number, since it is smaller than the sum of its proper divisors (122498467352).

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

101537032168 is a wasteful number, since it uses less digits than its factorization.

101537032168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146858 (or 146854 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

Adding to 101537032168 its reverse (861230735101), we get a palindrome (962767767269).

The spelling of 101537032168 in words is "one hundred one billion, five hundred thirty-seven million, thirty-two thousand, one hundred sixty-eight".