10005005305100 has 72 divisors (see below), whose sum is σ = 23878394476608. Its totient is φ = 3615556723200.

The previous prime is 10005005305073. The next prime is 10005005305103. The reversal of 10005005305100 is 150350050001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10005005305103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81812921 + ... + 81935120.

Almost surely, 2^{10005005305100} is an apocalyptic number.

10005005305100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005005305100 is an abundant number, since it is smaller than the sum of its proper divisors (13873389171508).

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

10005005305100 is a wasteful number, since it uses less digits than its factorization.

10005005305100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163748115 (or 163748108 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 20.

Adding to 10005005305100 its reverse (150350050001), we get a palindrome (10155355355101).

The spelling of 10005005305100 in words is "ten trillion, five billion, five million, three hundred five thousand, one hundred".