210106563000 has 128 divisors (see below), whose sum is σ = 662023851840. Its totient is φ = 55473600000.

The previous prime is 210106562999. The next prime is 210106563001. The reversal of 210106563000 is 365601012.

It is an interprime number because it is at equal distance from previous prime (210106562999) and next prime (210106563001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210106563001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43711 + ... + 649710.

Almost surely, 2^210106563000 is an apocalyptic number.

210106563000 is a gapful number since it is divisible by the number (20) 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 210106563000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331011925920).

210106563000 is an abundant number, since it is smaller than the sum of its proper divisors (451917288840).

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

210106563000 is a wasteful number, since it uses less digits than its factorization.

210106563000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693546 (or 693532 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 210106563000 in words is "two hundred ten billion, one hundred six million, five hundred sixty-three thousand".