1159106200 has 96 divisors (see below), whose sum is σ = 3100872960. Its totient is φ = 394704000.

The previous prime is 1159106197. The next prime is 1159106227. The reversal of 1159106200 is 26019511.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 208659 + ... + 214141.

It is an arithmetic number, because the mean of its divisors is an integer number (32300760).

Almost surely, 2^1159106200 is an apocalyptic number.

1159106200 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 1159106200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550436480).

1159106200 is an abundant number, since it is smaller than the sum of its proper divisors (1941766760).

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

1159106200 is a wasteful number, since it uses less digits than its factorization.

1159106200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5657 (or 5648 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 25.

The square root of 1159106200 is about 34045.6487675004. The cubic root of 1159106200 is about 1050.4476398213.

The spelling of 1159106200 in words is "one billion, one hundred fifty-nine million, one hundred six thousand, two hundred".