101808826481296 has 135 divisors (see below), whose sum is σ = 222018190673097. Its totient is φ = 45192060439680.

The previous prime is 101808826481119. The next prime is 101808826481303. The reversal of 101808826481296 is 692184628808101.

The square root of 101808826481296 is 10090036.

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., 101503610010000 + 305216471296 = 10074900^2 + 552464^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19090345446 + ... + 19090350778.

Almost surely, 2^{101808826481296} is an apocalyptic number.

101808826481296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

101808826481296 is the 10090036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101808826481296

101808826481296 is an abundant number, since it is smaller than the sum of its proper divisors (120209364191801).

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

101808826481296 is an frugal number, since it uses more digits than its factorization.

101808826481296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10782 (or 5389 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 64.

The spelling of 101808826481296 in words is "one hundred one trillion, eight hundred eight billion, eight hundred twenty-six million, four hundred eighty-one thousand, two hundred ninety-six".