10083729361104 has 60 divisors (see below), whose sum is σ = 32251928039136. Its totient is φ = 2881065531456.

The previous prime is 10083729361073. The next prime is 10083729361141. The reversal of 10083729361104 is 40116392738001.

10083729361104 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 3 + 7 + 29 + 3 + 611 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10083729361104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5001848874 + ... + 5001850889.

Almost surely, 2^{10083729361104} is an apocalyptic number.

10083729361104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10083729361104 is an abundant number, since it is smaller than the sum of its proper divisors (22168198678032).

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

10083729361104 is a wasteful number, since it uses less digits than its factorization.

10083729361104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10003699784 (or 10003699775 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10083729361104 in words is "ten trillion, eighty-three billion, seven hundred twenty-nine million, three hundred sixty-one thousand, one hundred four".