159740100 has 360 divisors, whose sum is σ = 586686408. Its totient is φ = 37324800.

The previous prime is 159740071. The next prime is 159740101. The reversal of 159740100 is 1047951.

It can be written as a sum of positive squares in 12 ways, for example, as 79709184 + 80030916 = 8928^2 + 8946^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159740101) 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 119 ways as a sum of consecutive naturals, for example, 3896080 + ... + 3896120.

Almost surely, 2^159740100 is an apocalyptic number.

159740100 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 159740100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293343204).

159740100 is an abundant number, since it is smaller than the sum of its proper divisors (426946308).

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

159740100 is a wasteful number, since it uses less digits than its factorization.

159740100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 159740100 is about 12638.8330157495. The cubic root of 159740100 is about 542.5894152064.

The spelling of 159740100 in words is "one hundred fifty-nine million, seven hundred forty thousand, one hundred".