101805664900 has 27 divisors (see below), whose sum is σ = 220925216869. Its totient is φ = 40720989680.

The previous prime is 101805664861. The next prime is 101805664907. The reversal of 101805664900 is 9466508101.

The square root of 101805664900 is 319070.

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., 36650039364 + 65155625536 = 191442^2 + 255256^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101805664907) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 3174747 + ... + 3206653.

Almost surely, 2^101805664900 is an apocalyptic number.

101805664900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101805664900 is the 319070-th square number.

It is an amenable number.

101805664900 is an abundant number, since it is smaller than the sum of its proper divisors (119119551969).

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

101805664900 is an frugal number, since it uses more digits than its factorization.

101805664900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63828 (or 31914 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The spelling of 101805664900 in words is "one hundred one billion, eight hundred five million, six hundred sixty-four thousand, nine hundred".