103951683472 has 240 divisors, whose sum is σ = 264076764672. Its totient is φ = 39243294720.

The previous prime is 103951683469. The next prime is 103951683529. The reversal of 103951683472 is 274386159301.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23062243 + ... + 23066749.

It is a 1-persistent number, because it is pandigital, but 2⋅103951683472 = 207903366944 is not.

Almost surely, 2^103951683472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103951683472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132038382336).

103951683472 is an abundant number, since it is smaller than the sum of its proper divisors (160125081200).

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

103951683472 is a wasteful number, since it uses less digits than its factorization.

103951683472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4646 (or 4633 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The spelling of 103951683472 in words is "one hundred three billion, nine hundred fifty-one million, six hundred eighty-three thousand, four hundred seventy-two".