103130496000 has 1760 divisors, whose sum is σ = 463670064000. Its totient is φ = 22759833600.

The previous prime is 103130495999. The next prime is 103130496013. The reversal of 103130496000 is 694031301.

103130496000 is a `hidden beast` number, since 1 + 0 + 3 + 13 + 0 + 49 + 600 + 0 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3556223986 + ... + 3556224014.

It is an arithmetic number, because the mean of its divisors is an integer number (263448900).

Almost surely, 2^103130496000 is an apocalyptic number.

103130496000 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 103130496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231835032000).

103130496000 is an abundant number, since it is smaller than the sum of its proper divisors (360539568000).

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

103130496000 is an frugal number, since it uses more digits than its factorization.

103130496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 103130496000 in words is "one hundred three billion, one hundred thirty million, four hundred ninety-six thousand".