103861883664 has 640 divisors, whose sum is σ = 392020623360. Its totient is φ = 25539494400.

The previous prime is 103861883663. The next prime is 103861883681. The reversal of 103861883664 is 466388168301.

103861883664 is a `hidden beast` number, since 10 + 3 + 8 + 618 + 8 + 3 + 6 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 103861883664.

It is not an unprimeable number, because it can be changed into a prime (103861883663) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48464577 + ... + 48466719.

It is an arithmetic number, because the mean of its divisors is an integer number (612532224).

Almost surely, 2^103861883664 is an apocalyptic number.

103861883664 is a gapful number since it is divisible by the number (14) 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 103861883664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196010311680).

103861883664 is an abundant number, since it is smaller than the sum of its proper divisors (288158739696).

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

103861883664 is a wasteful number, since it uses less digits than its factorization.

103861883664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 103861883664 in words is "one hundred three billion, eight hundred sixty-one million, eight hundred eighty-three thousand, six hundred sixty-four".