10105006050504 has 128 divisors (see below), whose sum is σ = 28202425200000. Its totient is φ = 3352390550784.

The previous prime is 10105006050457. The next prime is 10105006050511. The reversal of 10105006050504 is 40505060050101.

It is a happy number.

10105006050504 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 5 + 0 + 0 + 605 + 0 + 50 + 4 = 666.

It is a super-2 number, since 2×10105006050504² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139402782 + ... + 139475250.

It is an arithmetic number, because the mean of its divisors is an integer number (220331446875).

Almost surely, 2^{10105006050504} 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 10105006050504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14101212600000).

10105006050504 is an abundant number, since it is smaller than the sum of its proper divisors (18097419149496).

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

10105006050504 is a wasteful number, since it uses less digits than its factorization.

10105006050504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75532 (or 75522 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 10105006050504 in words is "ten trillion, one hundred five billion, six million, fifty thousand, five hundred four".