1005210245106 has 80 divisors (see below), whose sum is σ = 2510432321760. Its totient is φ = 298762162560.

The previous prime is 1005210245101. The next prime is 1005210245113. The reversal of 1005210245106 is 6015420125001.

1005210245106 is a `hidden beast` number, since 10 + 0 + 521 + 0 + 24 + 5 + 106 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1005210245106.

It is not an unprimeable number, because it can be changed into a prime (1005210245101) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9552940 + ... + 9657591.

It is an arithmetic number, because the mean of its divisors is an integer number (31380404022).

Almost surely, 2^{1005210245106} is an apocalyptic number.

1005210245106 is an abundant number, since it is smaller than the sum of its proper divisors (1505222076654).

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

1005210245106 is a wasteful number, since it uses less digits than its factorization.

1005210245106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19210581 (or 19210572 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 1005210245106 in words is "one trillion, five billion, two hundred ten million, two hundred forty-five thousand, one hundred six".