101809493776 has 15 divisors (see below), whose sum is σ = 197258367061. Its totient is φ = 50904108736.

The previous prime is 101809493759. The next prime is 101809493831. The reversal of 101809493776 is 677394908101.

The square root of 101809493776 is 319076.

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., 94940399376 + 6869094400 = 308124^2 + 82880^2 .

It is a Duffinian 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 2 ways as a sum of consecutive naturals, for example, 1236420 + ... + 1316188.

Almost surely, 2^101809493776 is an apocalyptic number.

101809493776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

101809493776 is the 319076-th square number.

It is an amenable number.

101809493776 is a deficient number, since it is larger than the sum of its proper divisors (95448873285).

101809493776 is an frugal number, since it uses more digits than its factorization.

101809493776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159546 (or 79771 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 55.

The spelling of 101809493776 in words is "one hundred one billion, eight hundred nine million, four hundred ninety-three thousand, seven hundred seventy-six".