103159440000 has 640 divisors, whose sum is σ = 384098299200. Its totient is φ = 27247104000.

The previous prime is 103159439923. The next prime is 103159440019. The reversal of 103159440000 is 44951301.

103159440000 is a `hidden beast` number, since 1 + 0 + 31 + 594 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×103159440000² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 352079854 + ... + 352080146.

Almost surely, 2^103159440000 is an apocalyptic number.

103159440000 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 103159440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192049149600).

103159440000 is an abundant number, since it is smaller than the sum of its proper divisors (280938859200).

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

103159440000 is an equidigital number, since it uses as much as digits as its factorization.

103159440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 103159440000 in words is "one hundred three billion, one hundred fifty-nine million, four hundred forty thousand".