100870000 has 200 divisors, whose sum is σ = 306801792. Its totient is φ = 31200000.

The previous prime is 100869997. The next prime is 100870039. The reversal of 100870000 is 78001.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 769935 + ... + 770065.

Almost surely, 2^100870000 is an apocalyptic number.

100870000 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 100870000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153400896).

100870000 is an abundant number, since it is smaller than the sum of its proper divisors (205931792).

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

100870000 is a wasteful number, since it uses less digits than its factorization.

100870000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 100870000 is about 10043.4057968400. The cubic root of 100870000 is about 465.5010593054.

It can be divided in two parts, 1008 and 70000, that multiplied together give a square (70560000 = 8400²).

The spelling of 100870000 in words is "one hundred million, eight hundred seventy thousand".