103908919171680 has 1152 divisors, whose sum is σ = 464761816243200. Its totient is φ = 21176980733952.

The previous prime is 103908919171669. The next prime is 103908919171793. The reversal of 103908919171680 is 86171919809301.

It is a happy number.

103908919171680 is a `hidden beast` number, since 1 + 0 + 390 + 8 + 9 + 19 + 171 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 165734952 + ... + 166360728.

It is an arithmetic number, because the mean of its divisors is an integer number (403439076600).

Almost surely, 2^{103908919171680} is an apocalyptic number.

103908919171680 is a gapful number since it is divisible by the number (10) 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 103908919171680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232380908121600).

103908919171680 is an abundant number, since it is smaller than the sum of its proper divisors (360852897071520).

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

103908919171680 is a wasteful number, since it uses less digits than its factorization.

103908919171680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625861 (or 625830 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 63.

The spelling of 103908919171680 in words is "one hundred three trillion, nine hundred eight billion, nine hundred nineteen million, one hundred seventy-one thousand, six hundred eighty".