1101161400 has 192 divisors, whose sum is σ = 3658024800. Its totient is φ = 273039360.

The previous prime is 1101161393. The next prime is 1101161401. The reversal of 1101161400 is 41611011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1101161400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101161401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 907194 + ... + 908406.

Almost surely, 2^1101161400 is an apocalyptic number.

1101161400 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 1101161400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829012400).

1101161400 is an abundant number, since it is smaller than the sum of its proper divisors (2556863400).

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

1101161400 is a wasteful number, since it uses less digits than its factorization.

1101161400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

The square root of 1101161400 is about 33183.7520482540. The cubic root of 1101161400 is about 1032.6432877099.

Adding to 1101161400 its reverse (41611011), we get a palindrome (1142772411).

The spelling of 1101161400 in words is "one billion, one hundred one million, one hundred sixty-one thousand, four hundred".