100200870 has 192 divisors, whose sum is σ = 342351360. Its totient is φ = 19699200.

The previous prime is 100200869. The next prime is 100200871. The reversal of 100200870 is 78002001.

It is an interprime number because it is at equal distance from previous prime (100200869) and next prime (100200871).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200871) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131290 + ... + 132050.

It is an arithmetic number, because the mean of its divisors is an integer number (1783080).

Almost surely, 2^100200870 is an apocalyptic number.

100200870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100200870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171175680).

100200870 is an abundant number, since it is smaller than the sum of its proper divisors (242150490).

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

100200870 is a wasteful number, since it uses less digits than its factorization.

100200870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 808 counting only the distinct ones).

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

The square root of 100200870 is about 10010.0384614646. The cubic root of 100200870 is about 464.4694608180.

Adding to 100200870 its reverse (78002001), we get a palindrome (178202871).

The spelling of 100200870 in words is "one hundred million, two hundred thousand, eight hundred seventy".