206437502100 has 144 divisors (see below), whose sum is σ = 599512198208. Its totient is φ = 54845890560.

The previous prime is 206437502093. The next prime is 206437502123. The reversal of 206437502100 is 1205734602.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126881487 + ... + 126883113.

Almost surely, 2^206437502100 is an apocalyptic number.

206437502100 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 206437502100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299756099104).

206437502100 is an abundant number, since it is smaller than the sum of its proper divisors (393074696108).

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

206437502100 is a wasteful number, since it uses less digits than its factorization.

206437502100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 206437502100 in words is "two hundred six billion, four hundred thirty-seven million, five hundred two thousand, one hundred".