101064803850 has 72 divisors (see below), whose sum is σ = 272132721900. Its totient is φ = 26890536960.

The previous prime is 101064803831. The next prime is 101064803863. The reversal of 101064803850 is 58308460101.

101064803850 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 648 + 0 + 3 + 8 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 29697284241 + 71367519609 = 172329^2 + 267147^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 48049 + ... + 452148.

Almost surely, 2^101064803850 is an apocalyptic number.

101064803850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101064803850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136066360950).

101064803850 is an abundant number, since it is smaller than the sum of its proper divisors (171067918050).

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

101064803850 is a wasteful number, since it uses less digits than its factorization.

101064803850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500664 (or 500656 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 101064803850 in words is "one hundred one billion, sixty-four million, eight hundred three thousand, eight hundred fifty".