103052901168 has 240 divisors, whose sum is σ = 337617280000. Its totient is φ = 29331227520.

The previous prime is 103052901151. The next prime is 103052901169. The reversal of 103052901168 is 861109250301.

103052901168 is a `hidden beast` number, since 1 + 0 + 305 + 290 + 1 + 1 + 68 = 666.

103052901168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (103052901169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13381383 + ... + 13389081.

Almost surely, 2^103052901168 is an apocalyptic number.

103052901168 is a gapful number since it is divisible by the number (18) 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 103052901168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168808640000).

103052901168 is an abundant number, since it is smaller than the sum of its proper divisors (234564378832).

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

103052901168 is a wasteful number, since it uses less digits than its factorization.

103052901168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8005 (or 7982 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 103052901168 in words is "one hundred three billion, fifty-two million, nine hundred one thousand, one hundred sixty-eight".