103106906680176 has 320 divisors, whose sum is σ = 343813583093760. Its totient is φ = 28974538771200.

The previous prime is 103106906680121. The next prime is 103106906680187. The reversal of 103106906680176 is 671086609601301.

103106906680176 is a `hidden beast` number, since 10 + 310 + 6 + 90 + 6 + 68 + 0 + 176 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130694101 + ... + 131480651.

It is an arithmetic number, because the mean of its divisors is an integer number (1074417447168).

Almost surely, 2^{103106906680176} is an apocalyptic number.

103106906680176 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 103106906680176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171906791546880).

103106906680176 is an abundant number, since it is smaller than the sum of its proper divisors (240706676413584).

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

103106906680176 is a wasteful number, since it uses less digits than its factorization.

103106906680176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787289 (or 787277 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 103106906680176 in words is "one hundred three trillion, one hundred six billion, nine hundred six million, six hundred eighty thousand, one hundred seventy-six".