103757703168 has 384 divisors, whose sum is σ = 336938434560. Its totient is φ = 27717795840.

The previous prime is 103757703131. The next prime is 103757703209. The reversal of 103757703168 is 861307757301.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 139646605 + ... + 139647347.

It is an arithmetic number, because the mean of its divisors is an integer number (877443840).

Almost surely, 2^103757703168 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 103757703168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168469217280).

103757703168 is an abundant number, since it is smaller than the sum of its proper divisors (233180731392).

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

103757703168 is a wasteful number, since it uses less digits than its factorization.

103757703168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 48.

The spelling of 103757703168 in words is "one hundred three billion, seven hundred fifty-seven million, seven hundred three thousand, one hundred sixty-eight".