100400784 has 160 divisors (see below), whose sum is σ = 299980800. Its totient is φ = 28654080.

The previous prime is 100400749. The next prime is 100400791. The reversal of 100400784 is 487004001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1209607 + ... + 1209689.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 2^100400784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100400784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).

100400784 is an abundant number, since it is smaller than the sum of its proper divisors (199580016).

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

100400784 is a wasteful number, since it uses less digits than its factorization.

100400784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 100400784 is about 10020.0191616583. The cubic root of 100400784 is about 464.7781483047.

Adding to 100400784 its reverse (487004001), we get a palindrome (587404785).

The spelling of 100400784 in words is "one hundred million, four hundred thousand, seven hundred eighty-four".