101884809636 has 189 divisors, whose sum is σ = 280545115921. Its totient is φ = 32358610944.

The previous prime is 101884809623. The next prime is 101884809707. The reversal of 101884809636 is 636908488101.

The square root of 101884809636 is 319194.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 100305224100 + 1579585536 = 316710^2 + 39744^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 396438820 + ... + 396439076.

Almost surely, 2^101884809636 is an apocalyptic number.

101884809636 is the 319194-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101884809636

101884809636 is an abundant number, since it is smaller than the sum of its proper divisors (178660306285).

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

101884809636 is an frugal number, since it uses more digits than its factorization.

101884809636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 101884809636 in words is "one hundred one billion, eight hundred eighty-four million, eight hundred nine thousand, six hundred thirty-six".