101800000 has 84 divisors (see below), whose sum is σ = 252991620. Its totient is φ = 40640000.

The previous prime is 101799991. The next prime is 101800019. The reversal of 101800000 is 8101.

It can be written as a sum of positive squares in 6 ways, for example, as 69355584 + 32444416 = 8328^2 + 5696^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 101800000.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199746 + ... + 200254.

It is an arithmetic number, because the mean of its divisors is an integer number (3011805).

Almost surely, 2^101800000 is an apocalyptic number.

101800000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126495810).

101800000 is an abundant number, since it is smaller than the sum of its proper divisors (151191620).

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

101800000 is an frugal number, since it uses more digits than its factorization.

101800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 101800000 is about 10089.5986045036. The cubic root of 101800000 is about 466.9272920598.

Adding to 101800000 its reverse (8101), we get a palindrome (101808101).

The spelling of 101800000 in words is "one hundred one million, eight hundred thousand".