8821106400 has 72 divisors (see below), whose sum is σ = 28712709144. Its totient is φ = 2352294400.

The previous prime is 8821106369. The next prime is 8821106401. The reversal of 8821106400 is 46011288.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8821106401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1835331 + ... + 1840130.

It is an arithmetic number, because the mean of its divisors is an integer number (398787627).

Almost surely, 2^8821106400 is an apocalyptic number.

8821106400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8821106400 is an abundant number, since it is smaller than the sum of its proper divisors (19891602744).

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

8821106400 is a wasteful number, since it uses less digits than its factorization.

8821106400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3675484 (or 3675471 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 8821106400 is about 93920.7453122046. The cubic root of 8821106400 is about 2066.2094976743.

Adding to 8821106400 its reverse (46011288), we get a palindrome (8867117688).

The spelling of 8821106400 in words is "eight billion, eight hundred twenty-one million, one hundred six thousand, four hundred".