103559613696 has 1296 divisors, whose sum is σ = 414302448000. Its totient is φ = 25482885120.

The previous prime is 103559613673. The next prime is 103559613701. The reversal of 103559613696 is 696316955301.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

103559613696 is a `hidden beast` number, since 1 + 0 + 35 + 596 + 13 + 6 + 9 + 6 = 666.

It is a super-3 number, since 3×103559613696³ (a number of 34 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 143 ways as a sum of consecutive naturals, for example, 5450505975 + ... + 5450505993.

Almost surely, 2^103559613696 is an apocalyptic number.

103559613696 is a gapful number since it is divisible by the number (16) 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 103559613696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207151224000).

103559613696 is an abundant number, since it is smaller than the sum of its proper divisors (310742834304).

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

103559613696 is an equidigital number, since it uses as much as digits as its factorization.

103559613696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 3936600, while the sum is 54.

The spelling of 103559613696 in words is "one hundred three billion, five hundred fifty-nine million, six hundred thirteen thousand, six hundred ninety-six".