103644601059888 has 960 divisors, whose sum is σ = 368090218496000. Its totient is φ = 27576022828032.

The previous prime is 103644601059871. The next prime is 103644601059941. The reversal of 103644601059888 is 888950106446301.

103644601059888 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 4 + 460 + 1 + 0 + 5 + 98 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 7158263433 + ... + 7158277911.

Almost surely, 2^{103644601059888} is an apocalyptic number.

103644601059888 is a gapful number since it is divisible by the number (18) 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 103644601059888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184045109248000).

103644601059888 is an abundant number, since it is smaller than the sum of its proper divisors (264445617436112).

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

103644601059888 is a wasteful number, since it uses less digits than its factorization.

103644601059888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14764 (or 14746 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 103644601059888 in words is "one hundred three trillion, six hundred forty-four billion, six hundred one million, fifty-nine thousand, eight hundred eighty-eight".