103279727223000 has 768 divisors, whose sum is σ = 378013716288000. Its totient is φ = 25344565632000.

The previous prime is 103279727222999. The next prime is 103279727223017. The reversal of 103279727223000 is 322727972301.

It is a happy number.

103279727223000 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 79 + 7 + 272 + 2 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3916399815 + ... + 3916426185.

It is an arithmetic number, because the mean of its divisors is an integer number (492205359750).

Almost surely, 2^{103279727223000} is an apocalyptic number.

103279727223000 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 103279727223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189006858144000).

103279727223000 is an abundant number, since it is smaller than the sum of its proper divisors (274733989065000).

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

103279727223000 is a wasteful number, since it uses less digits than its factorization.

103279727223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27073 (or 27056 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 103279727223000 in words is "one hundred three trillion, two hundred seventy-nine billion, seven hundred twenty-seven million, two hundred twenty-three thousand".