159006100 has 108 divisors (see below), whose sum is σ = 402091452. Its totient is φ = 54348800.

The previous prime is 159006091. The next prime is 159006103. The reversal of 159006100 is 1600951.

It can be written as a sum of positive squares in 6 ways, for example, as 10458756 + 148547344 = 3234^2 + 12188^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159006103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 205314 + ... + 206086.

It is an arithmetic number, because the mean of its divisors is an integer number (3723069).

Almost surely, 2^159006100 is an apocalyptic number.

159006100 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 159006100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201045726).

159006100 is an abundant number, since it is smaller than the sum of its proper divisors (243085352).

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

159006100 is a wasteful number, since it uses less digits than its factorization.

159006100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 159006100 is about 12609.7620913323. The cubic root of 159006100 is about 541.7570794509.

The spelling of 159006100 in words is "one hundred fifty-nine million, six thousand, one hundred".