1006000005100 has 36 divisors (see below), whose sum is σ = 2183145832224. Its totient is φ = 402376809280.

The previous prime is 1006000005097. The next prime is 1006000005107. The reversal of 1006000005100 is 15000006001.

It is a super-2 number, since 2×1006000005100² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1006000005107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1509342 + ... + 2071258.

It is an arithmetic number, because the mean of its divisors is an integer number (60642939784).

Almost surely, 2^{1006000005100} is an apocalyptic number.

1006000005100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006000005100 is an abundant number, since it is smaller than the sum of its proper divisors (1177145827124).

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

1006000005100 is a wasteful number, since it uses less digits than its factorization.

1006000005100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579834 (or 579827 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

Subtracting from 1006000005100 its reverse (15000006001), we obtain a palindrome (990999999099).

The spelling of 1006000005100 in words is "one trillion, six billion, five thousand, one hundred".