100400552 has 64 divisors (see below), whose sum is σ = 224380800. Its totient is φ = 41207040.

The previous prime is 100400551. The next prime is 100400569. The reversal of 100400552 is 255004001.

It is a self number, because there is not a number n which added to its sum of digits gives 100400552.

It is not an unprimeable number, because it can be changed into a prime (100400551) 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 15 ways as a sum of consecutive naturals, for example, 342518 + ... + 342810.

It is an arithmetic number, because the mean of its divisors is an integer number (3505950).

Almost surely, 2^100400552 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 100400552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112190400).

100400552 is an abundant number, since it is smaller than the sum of its proper divisors (123980248).

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

100400552 is a wasteful number, since it uses less digits than its factorization.

100400552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 100400552 is about 10020.0075848275. The cubic root of 100400552 is about 464.7777903108. Note that the first 4 decimals are identical.

Adding to 100400552 its reverse (255004001), we get a palindrome (355404553).

The spelling of 100400552 in words is "one hundred million, four hundred thousand, five hundred fifty-two".