100400436 has 72 divisors (see below), whose sum is σ = 278034120. Its totient is φ = 30406656.

The previous prime is 100400393. The next prime is 100400437. The reversal of 100400436 is 634004001.

It can be written as a sum of positive squares in 4 ways, for example, as 9960336 + 90440100 = 3156^2 + 9510^2 .

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 (100400437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14920 + ... + 20576.

It is an arithmetic number, because the mean of its divisors is an integer number (3861585).

Almost surely, 2^100400436 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 100400436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139017060).

100400436 is an abundant number, since it is smaller than the sum of its proper divisors (177633684).

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

100400436 is a wasteful number, since it uses less digits than its factorization.

100400436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5713 (or 5708 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 100400436 is about 10020.0017964070. The cubic root of 100400436 is about 464.7776113136. Note that the first 3 decimals are identical.

Adding to 100400436 its reverse (634004001), we get a palindrome (734404437).

It can be divided in two parts, 1004004 and 36, that multiplied together give a square (36144144 = 6012²).

The spelling of 100400436 in words is "one hundred million, four hundred thousand, four hundred thirty-six".