101075000832 has 360 divisors, whose sum is σ = 319089503304. Its totient is φ = 30783946752.

The previous prime is 101075000821. The next prime is 101075000833. The reversal of 101075000832 is 238000570101.

It is a junction number, because it is equal to n+sod(n) for n = 101075000796 and 101075000805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101075000833) 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 35 ways as a sum of consecutive naturals, for example, 83325858 + ... + 83327070.

Almost surely, 2^101075000832 is an apocalyptic number.

101075000832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101075000832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159544751652).

101075000832 is an abundant number, since it is smaller than the sum of its proper divisors (218014502472).

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

101075000832 is a wasteful number, since it uses less digits than its factorization.

101075000832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 101075000832 its reverse (238000570101), we get a palindrome (339075570933).

The spelling of 101075000832 in words is "one hundred one billion, seventy-five million, eight hundred thirty-two", and thus it is an aban number.