1151144100 has 108 divisors (see below), whose sum is σ = 3676428756. Its totient is φ = 301167360.

The previous prime is 1151144083. The next prime is 1151144107. The reversal of 1151144100 is 14411511.

1151144100 is a `hidden beast` number, since 11 + 511 + 44 + 100 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3154176 + 1147989924 = 1776^2 + 33882^2 .

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 (1151144107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35634 + ... + 59766.

It is an arithmetic number, because the mean of its divisors is an integer number (34041007).

Almost surely, 2^1151144100 is an apocalyptic number.

1151144100 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 1151144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838214378).

1151144100 is an abundant number, since it is smaller than the sum of its proper divisors (2525284656).

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

1151144100 is a wasteful number, since it uses less digits than its factorization.

1151144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24206 (or 24196 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 1151144100 is about 33928.5145563433. The cubic root of 1151144100 is about 1048.0368761668.

Adding to 1151144100 its reverse (14411511), we get a palindrome (1165555611).

It can be divided in two parts, 11511 and 44100, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 1151144100 in words is "one billion, one hundred fifty-one million, one hundred forty-four thousand, one hundred".