103641879680 has 96 divisors (see below), whose sum is σ = 256608567540. Its totient is φ = 40027000832.

The previous prime is 103641879673. The next prime is 103641879683. The reversal of 103641879680 is 86978146301.

It can be written as a sum of positive squares in 6 ways, for example, as 22124777536 + 81517102144 = 148744^2 + 285512^2 .

It is a super-3 number, since 3×103641879680³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (103641879683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 441962 + ... + 634518.

Almost surely, 2^103641879680 is an apocalyptic number.

103641879680 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 103641879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128304283770).

103641879680 is an abundant number, since it is smaller than the sum of its proper divisors (152966687860).

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

103641879680 is an equidigital number, since it uses as much as digits as its factorization.

103641879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192634 (or 192593 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 53.

The spelling of 103641879680 in words is "one hundred three billion, six hundred forty-one million, eight hundred seventy-nine thousand, six hundred eighty".