103406285781504 has 640 divisors, whose sum is σ = 315497206886400. Its totient is φ = 33424029941760.

The previous prime is 103406285781473. The next prime is 103406285781511. The reversal of 103406285781504 is 405187582604301.

It is a happy number.

103406285781504 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 0 + 6 + 2 + 8 + 57 + 81 + 504 = 666.

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

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, 62405723844 + ... + 62405725500.

It is an arithmetic number, because the mean of its divisors is an integer number (492964385760).

Almost surely, 2^{103406285781504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103406285781504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157748603443200).

103406285781504 is an abundant number, since it is smaller than the sum of its proper divisors (212090921104896).

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

103406285781504 is a wasteful number, since it uses less digits than its factorization.

103406285781504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 103406285781504 in words is "one hundred three trillion, four hundred six billion, two hundred eighty-five million, seven hundred eighty-one thousand, five hundred four".