103123692268128 has 576 divisors, whose sum is σ = 360557071580160. Its totient is φ = 27289040486400.

The previous prime is 103123692268117. The next prime is 103123692268151. The reversal of 103123692268128 is 821862296321301.

103123692268128 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 2 + 369 + 2 + 268 + 12 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 643513773 + ... + 643674003.

It is an arithmetic number, because the mean of its divisors is an integer number (625967138160).

Almost surely, 2^{103123692268128} is an apocalyptic number.

103123692268128 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 103123692268128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180278535790080).

103123692268128 is an abundant number, since it is smaller than the sum of its proper divisors (257433379312032).

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

103123692268128 is a wasteful number, since it uses less digits than its factorization.

103123692268128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160571 (or 160560 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 103123692268128 in words is "one hundred three trillion, one hundred twenty-three billion, six hundred ninety-two million, two hundred sixty-eight thousand, one hundred twenty-eight".