101852763000 has 512 divisors, whose sum is σ = 362558177280. Its totient is φ = 23654400000.

The previous prime is 101852762993. The next prime is 101852763013. The reversal of 101852763000 is 367258101.

101852763000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36361600 + ... + 36364400.

It is an arithmetic number, because the mean of its divisors is an integer number (708121440).

Almost surely, 2^101852763000 is an apocalyptic number.

101852763000 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 101852763000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181279088640).

101852763000 is an abundant number, since it is smaller than the sum of its proper divisors (260705414280).

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

101852763000 is a wasteful number, since it uses less digits than its factorization.

101852763000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 101852763000 in words is "one hundred one billion, eight hundred fifty-two million, seven hundred sixty-three thousand".