103064017362880 has 672 divisors, whose sum is σ = 306400253644800. Its totient is φ = 32805512183808.

The previous prime is 103064017362857. The next prime is 103064017362881. The reversal of 103064017362880 is 88263710460301.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103064017362881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34093289049 + ... + 34093292071.

It is an arithmetic number, because the mean of its divisors is an integer number (455952758400).

Almost surely, 2^{103064017362880} is an apocalyptic number.

103064017362880 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 103064017362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153200126822400).

103064017362880 is an abundant number, since it is smaller than the sum of its proper divisors (203336236281920).

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

103064017362880 is a wasteful number, since it uses less digits than its factorization.

103064017362880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4769 (or 4752 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The spelling of 103064017362880 in words is "one hundred three trillion, sixty-four billion, seventeen million, three hundred sixty-two thousand, eight hundred eighty".