100887400 has 48 divisors (see below), whose sum is σ = 235392300. Its totient is φ = 40212480.

The previous prime is 100887389. The next prime is 100887431. The reversal of 100887400 is 4788001.

It can be written as a sum of positive squares in 6 ways, for example, as 10903204 + 89984196 = 3302^2 + 9486^2 .

It is a congruent number.

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, 69886 + ... + 71314.

Almost surely, 2^100887400 is an apocalyptic number.

100887400 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 100887400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117696150).

100887400 is an abundant number, since it is smaller than the sum of its proper divisors (134504900).

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

100887400 is a wasteful number, since it uses less digits than its factorization.

100887400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 100887400 is about 10044.2719995030. The cubic root of 100887400 is about 465.5278239620.

The spelling of 100887400 in words is "one hundred million, eight hundred eighty-seven thousand, four hundred".