103559310488700 has 1152 divisors, whose sum is σ = 386194081996800. Its totient is φ = 23560872192000.

The previous prime is 103559310488693. The next prime is 103559310488717. The reversal of 103559310488700 is 7884013955301.

103559310488700 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 5 + 93 + 1 + 0 + 488 + 70 + 0 = 666.

It is a super-3 number, since 3×103559310488700³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7964256399 + ... + 7964269401.

It is an arithmetic number, because the mean of its divisors is an integer number (335237918400).

Almost surely, 2^{103559310488700} is an apocalyptic number.

103559310488700 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 103559310488700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193097040998400).

103559310488700 is an abundant number, since it is smaller than the sum of its proper divisors (282634771508100).

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

103559310488700 is a wasteful number, since it uses less digits than its factorization.

103559310488700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13280 (or 13267 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 103559310488700 in words is "one hundred three trillion, five hundred fifty-nine billion, three hundred ten million, four hundred eighty-eight thousand, seven hundred".