1100113920 has 384 divisors, whose sum is σ = 4104172800. Its totient is φ = 278986752.

The previous prime is 1100113919. The next prime is 1100113981. The reversal of 1100113920 is 293110011.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1100113893 and 1100113902.

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, 6358954 + ... + 6359126.

It is an arithmetic number, because the mean of its divisors is an integer number (10687950).

Almost surely, 2^1100113920 is an apocalyptic number.

1100113920 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 1100113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052086400).

1100113920 is an abundant number, since it is smaller than the sum of its proper divisors (3004058880).

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

1100113920 is a wasteful number, since it uses less digits than its factorization.

1100113920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 1100113920 is about 33167.9652677097. The cubic root of 1100113920 is about 1032.3157497871.

Adding to 1100113920 its reverse (293110011), we get a palindrome (1393223931).

The spelling of 1100113920 in words is "one billion, one hundred million, one hundred thirteen thousand, nine hundred twenty".