10605100005000 has 120 divisors (see below), whose sum is σ = 35891193602550. Its totient is φ = 2828026656000.

The previous prime is 10605100004927. The next prime is 10605100005007. The reversal of 10605100005000 is 50000150601.

10605100005000 is a `hidden beast` number, since 1 + 0 + 60 + 5 + 100 + 0 + 0 + 500 + 0 = 666.

10605100005000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 1813293855396 + 8791806149604 = 1346586^2 + 2965098^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10605100005000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10605100005007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 117789445 + ... + 117879444.

Almost surely, 2^{10605100005000} is an apocalyptic number.

10605100005000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10605100005000 is an abundant number, since it is smaller than the sum of its proper divisors (25286093597550).

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

10605100005000 is a wasteful number, since it uses less digits than its factorization.

10605100005000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235668921 (or 235668899 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 10605100005000 its reverse (50000150601), we get a palindrome (10655100155601).

The spelling of 10605100005000 in words is "ten trillion, six hundred five billion, one hundred million, five thousand".