10101800 has 48 divisors (see below), whose sum is σ = 23954940. Its totient is φ = 3960320.

The previous prime is 10101779. The next prime is 10101821. The reversal of 10101800 is 810101.

It is an interprime number because it is at equal distance from previous prime (10101779) and next prime (10101821).

It can be written as a sum of positive squares in 6 ways, for example, as 4351396 + 5750404 = 2086^2 + 2398^2 .

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, 10124 + ... + 11076.

Almost surely, 2^10101800 is an apocalyptic number.

10101800 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 10101800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11977470).

10101800 is an abundant number, since it is smaller than the sum of its proper divisors (13853140).

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

10101800 is a wasteful number, since it uses less digits than its factorization.

10101800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 10101800 is about 3178.3328963468. The cubic root of 10101800 is about 216.1720736743.

Adding to 10101800 its reverse (810101), we get a palindrome (10911901).

It can be divided in two parts, 10101 and 800, that added together give a palindrome (10901).

The spelling of 10101800 in words is "ten million, one hundred one thousand, eight hundred".