100561800 has 96 divisors (see below), whose sum is σ = 330112800. Its totient is φ = 25236480.

The previous prime is 100561793. The next prime is 100561801. The reversal of 100561800 is 8165001.

It is a super-2 number, since 2×100561800² = 20225351238480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100561801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5271 + ... + 15129.

It is an arithmetic number, because the mean of its divisors is an integer number (3438675).

Almost surely, 2^100561800 is an apocalyptic number.

100561800 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 100561800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165056400).

100561800 is an abundant number, since it is smaller than the sum of its proper divisors (229551000).

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

100561800 is a wasteful number, since it uses less digits than its factorization.

100561800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9895 (or 9886 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 100561800 is about 10028.0506580292. The cubic root of 100561800 is about 465.0264755419.

The spelling of 100561800 in words is "one hundred million, five hundred sixty-one thousand, eight hundred".