103757868408976 has 80 divisors (see below), whose sum is σ = 209065428956160. Its totient is φ = 49824501027840.

The previous prime is 103757868408973. The next prime is 103757868409021. The reversal of 103757868408976 is 679804868757301.

It is a junction number, because it is equal to n+sod(n) for n = 103757868408896 and 103757868408905.

It is not an unprimeable number, because it can be changed into a prime (103757868408973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1878180811 + ... + 1878236053.

It is an arithmetic number, because the mean of its divisors is an integer number (2613317861952).

Almost surely, 2^{103757868408976} is an apocalyptic number.

103757868408976 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 103757868408976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104532714478080).

103757868408976 is an abundant number, since it is smaller than the sum of its proper divisors (105307560547184).

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

103757868408976 is a wasteful number, since it uses less digits than its factorization.

103757868408976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76664 (or 76658 counting only the distinct ones).

The product of its (nonzero) digits is 3413975040, while the sum is 79.

The spelling of 103757868408976 in words is "one hundred three trillion, seven hundred fifty-seven billion, eight hundred sixty-eight million, four hundred eight thousand, nine hundred seventy-six".