103114686140928 has 1600 divisors, whose sum is σ = 389357551545600. Its totient is φ = 26389648834560.

The previous prime is 103114686140911. The next prime is 103114686140933. The reversal of 103114686140928 is 829041686411301.

103114686140928 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 14 + 6 + 8 + 614 + 0 + 9 + 2 + 8 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 103424960526 + ... + 103424961522.

It is an arithmetic number, because the mean of its divisors is an integer number (243348469716).

Almost surely, 2^{103114686140928} is an apocalyptic number.

103114686140928 is a gapful number since it is divisible by the number (18) 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 103114686140928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194678775772800).

103114686140928 is an abundant number, since it is smaller than the sum of its proper divisors (286242865404672).

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

103114686140928 is an frugal number, since it uses more digits than its factorization.

103114686140928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 103114686140928 in words is "one hundred three trillion, one hundred fourteen billion, six hundred eighty-six million, one hundred forty thousand, nine hundred twenty-eight".