101825830960 has 160 divisors (see below), whose sum is σ = 273646771200. Its totient is φ = 34515526656.

The previous prime is 101825830957. The next prime is 101825830991. The reversal of 101825830960 is 69038528101.

It is a super-3 number, since 3×101825830960³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 35890662 + ... + 35893498.

It is an arithmetic number, because the mean of its divisors is an integer number (1710292320).

Almost surely, 2^101825830960 is an apocalyptic number.

101825830960 is a gapful number since it is divisible by the number (10) 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 101825830960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136823385600).

101825830960 is an abundant number, since it is smaller than the sum of its proper divisors (171820940240).

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

101825830960 is a wasteful number, since it uses less digits than its factorization.

101825830960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3563 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The spelling of 101825830960 in words is "one hundred one billion, eight hundred twenty-five million, eight hundred thirty thousand, nine hundred sixty".