100540800 has 144 divisors (see below), whose sum is σ = 358855380. Its totient is φ = 26803200.

The previous prime is 100540793. The next prime is 100540801. The reversal of 100540800 is 8045001.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100540801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27055 + ... + 30545.

Almost surely, 2^100540800 is an apocalyptic number.

100540800 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 100540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179427690).

100540800 is an abundant number, since it is smaller than the sum of its proper divisors (258314580).

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

100540800 is a wasteful number, since it uses less digits than its factorization.

100540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3521 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 100540800 is about 10027.0035404402. The cubic root of 100540800 is about 464.9941032898.

Adding to 100540800 its reverse (8045001), we get a palindrome (108585801).

The spelling of 100540800 in words is "one hundred million, five hundred forty thousand, eight hundred".