1005225102300 has 72 divisors (see below), whose sum is σ = 2910273879856. Its totient is φ = 267892047360.

The previous prime is 1005225102281. The next prime is 1005225102347. The reversal of 1005225102300 is 32015225001.

1005225102300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 569977 + ... + 1528176.

Almost surely, 2^{1005225102300} is an apocalyptic number.

1005225102300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005225102300 is an abundant number, since it is smaller than the sum of its proper divisors (1905048777556).

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

1005225102300 is a wasteful number, since it uses less digits than its factorization.

1005225102300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099767 (or 2099760 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The spelling of 1005225102300 in words is "one trillion, five billion, two hundred twenty-five million, one hundred two thousand, three hundred".