101825734296 has 128 divisors (see below), whose sum is σ = 299719203840. Its totient is φ = 28420761600.

The previous prime is 101825734291. The next prime is 101825734321. The reversal of 101825734296 is 692437528101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101825734291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1556976 + ... + 1621056.

It is an arithmetic number, because the mean of its divisors is an integer number (2341556280).

It is a 1-persistent number, because it is pandigital, but 2⋅101825734296 = 203651468592 is not.

Almost surely, 2^101825734296 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 101825734296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149859601920).

101825734296 is an abundant number, since it is smaller than the sum of its proper divisors (197893469544).

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

101825734296 is a wasteful number, since it uses less digits than its factorization.

101825734296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64577 (or 64573 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 101825734296 in words is "one hundred one billion, eight hundred twenty-five million, seven hundred thirty-four thousand, two hundred ninety-six".