103354859520 has 864 divisors, whose sum is σ = 412214624640. Its totient is φ = 24631050240.

The previous prime is 103354859513. The next prime is 103354859527. The reversal of 103354859520 is 25958453301.

103354859520 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 54 + 8 + 595 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (103354859513) and next prime (103354859527).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103354859527) 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, 1751777251 + ... + 1751777309.

It is an arithmetic number, because the mean of its divisors is an integer number (477100260).

Almost surely, 2^103354859520 is an apocalyptic number.

103354859520 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 103354859520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206107312320).

103354859520 is an abundant number, since it is smaller than the sum of its proper divisors (308859765120).

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

103354859520 is an frugal number, since it uses more digits than its factorization.

103354859520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 103354859520 in words is "one hundred three billion, three hundred fifty-four million, eight hundred fifty-nine thousand, five hundred twenty".