1005210245100 has 144 divisors (see below), whose sum is σ = 2934628171776. Its totient is φ = 265644288000.

The previous prime is 1005210245099. The next prime is 1005210245101. The reversal of 1005210245100 is 15420125001.

It is an interprime number because it is at equal distance from previous prime (1005210245099) and next prime (1005210245101).

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 47 ways as a sum of consecutive naturals, for example, 34694620 + ... + 34723580.

It is an arithmetic number, because the mean of its divisors is an integer number (20379362304).

Almost surely, 2^{1005210245100} is an apocalyptic number.

1005210245100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005210245100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467314085888).

1005210245100 is an abundant number, since it is smaller than the sum of its proper divisors (1929417926676).

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

1005210245100 is a wasteful number, since it uses less digits than its factorization.

1005210245100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30016 (or 30009 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The spelling of 1005210245100 in words is "one trillion, five billion, two hundred ten million, two hundred forty-five thousand, one hundred".