101850327936 has 448 divisors, whose sum is σ = 349798473600. Its totient is φ = 28922987520.

The previous prime is 101850327913. The next prime is 101850327961. The reversal of 101850327936 is 639723058101.

101850327936 is a `hidden beast` number, since 101 + 8 + 503 + 2 + 7 + 9 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 101850327891 and 101850327900.

It is a congruent number.

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 55 ways as a sum of consecutive naturals, for example, 137821455 + ... + 137822193.

Almost surely, 2^101850327936 is an apocalyptic number.

101850327936 is a gapful number since it is divisible by the number (16) 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 101850327936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174899236800).

101850327936 is an abundant number, since it is smaller than the sum of its proper divisors (247948145664).

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

101850327936 is an frugal number, since it uses more digits than its factorization.

101850327936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 101850327936 in words is "one hundred one billion, eight hundred fifty million, three hundred twenty-seven thousand, nine hundred thirty-six".