1005020235100 has 72 divisors (see below), whose sum is σ = 2494580697728. Its totient is φ = 344283825600.

The previous prime is 1005020235091. The next prime is 1005020235127. The reversal of 1005020235100 is 15320205001.

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, 206659 + ... + 1432741.

Almost surely, 2^{1005020235100} is an apocalyptic number.

1005020235100 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 1005020235100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247290348864).

1005020235100 is an abundant number, since it is smaller than the sum of its proper divisors (1489560462628).

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

1005020235100 is a wasteful number, since it uses less digits than its factorization.

1005020235100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227275 (or 1227268 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The spelling of 1005020235100 in words is "one trillion, five billion, twenty million, two hundred thirty-five thousand, one hundred".