103343279133600 has 2304 divisors, whose sum is σ = 451432706457600. Its totient is φ = 22533728256000.

The previous prime is 103343279133587. The next prime is 103343279133629. The reversal of 103343279133600 is 6331972343301.

103343279133600 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 4 + 3 + 2 + 7 + 9 + 1 + 33 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7417152234 + ... + 7417166166.

It is an arithmetic number, because the mean of its divisors is an integer number (195934334400).

Almost surely, 2^{103343279133600} is an apocalyptic number.

103343279133600 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 103343279133600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225716353228800).

103343279133600 is an abundant number, since it is smaller than the sum of its proper divisors (348089427324000).

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

103343279133600 is a wasteful number, since it uses less digits than its factorization.

103343279133600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14076 (or 14057 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 45.

The spelling of 103343279133600 in words is "one hundred three trillion, three hundred forty-three billion, two hundred seventy-nine million, one hundred thirty-three thousand, six hundred".