208070100 has 288 divisors, whose sum is σ = 779116800. Its totient is φ = 46656000.

The previous prime is 208070063. The next prime is 208070111. The reversal of 208070100 is 1070802.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1908846 + ... + 1908954.

Almost surely, 2^208070100 is an apocalyptic number.

208070100 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 208070100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389558400).

208070100 is an abundant number, since it is smaller than the sum of its proper divisors (571046700).

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

208070100 is a wasteful number, since it uses less digits than its factorization.

208070100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 208070100 is about 14424.6351773624. The cubic root of 208070100 is about 592.5657674151.

The spelling of 208070100 in words is "two hundred eight million, seventy thousand, one hundred".