1009100400 has 480 divisors, whose sum is σ = 4115355648. Its totient is φ = 205286400.

The previous prime is 1009100383. The next prime is 1009100401. The reversal of 1009100400 is 40019001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1009100400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009100401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6190719 + ... + 6190881.

Almost surely, 2^1009100400 is an apocalyptic number.

1009100400 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 1009100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057677824).

1009100400 is an abundant number, since it is smaller than the sum of its proper divisors (3106255248).

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

1009100400 is a wasteful number, since it uses less digits than its factorization.

1009100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1009100400 is about 31766.3406768863. The cubic root of 1009100400 is about 1003.0243109891.

Adding to 1009100400 its reverse (40019001), we get a palindrome (1049119401).

The spelling of 1009100400 in words is "one billion, nine million, one hundred thousand, four hundred".