103464147624960 has 528 divisors, whose sum is σ = 354377987024256. Its totient is φ = 25675189714944.

The previous prime is 103464147624953. The next prime is 103464147625009. The reversal of 103464147624960 is 69426741464301.

It is a self number, because there is not a number n which added to its sum of digits gives 103464147624960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2068306509 + ... + 2068356531.

Almost surely, 2^{103464147624960} is an apocalyptic number.

103464147624960 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 103464147624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177188993512128).

103464147624960 is an abundant number, since it is smaller than the sum of its proper divisors (250913839399296).

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

103464147624960 is an equidigital number, since it uses as much as digits as its factorization.

103464147624960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50246 (or 50139 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 57.

The spelling of 103464147624960 in words is "one hundred three trillion, four hundred sixty-four billion, one hundred forty-seven million, six hundred twenty-four thousand, nine hundred sixty".