101800864 has 48 divisors (see below), whose sum is σ = 220340736. Its totient is φ = 45913600.

The previous prime is 101800861. The next prime is 101800873. The reversal of 101800864 is 468008101.

It is a super-2 number, since 2×101800864² = 20726831822292992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (101800861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47169 + ... + 49279.

It is an arithmetic number, because the mean of its divisors is an integer number (4590432).

Almost surely, 2^101800864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101800864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110170368).

101800864 is an abundant number, since it is smaller than the sum of its proper divisors (118539872).

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

101800864 is a wasteful number, since it uses less digits than its factorization.

101800864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 101800864 is about 10089.6414207840. The cubic root of 101800864 is about 466.9286130291.

Adding to 101800864 its reverse (468008101), we get a palindrome (569808965).

The spelling of 101800864 in words is "one hundred one million, eight hundred thousand, eight hundred sixty-four".