103975443936 has 960 divisors, whose sum is σ = 392436430848. Its totient is φ = 26280640512.

The previous prime is 103975443931. The next prime is 103975443961. The reversal of 103975443936 is 639344579301.

103975443936 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 7 + 544 + 3 + 93 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103975443931) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 920136616 + ... + 920136728.

Almost surely, 2^103975443936 is an apocalyptic number.

103975443936 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 103975443936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196218215424).

103975443936 is an abundant number, since it is smaller than the sum of its proper divisors (288460986912).

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

103975443936 is a wasteful number, since it uses less digits than its factorization.

103975443936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 103975443936 in words is "one hundred three billion, nine hundred seventy-five million, four hundred forty-three thousand, nine hundred thirty-six".