100867000 has 64 divisors (see below), whose sum is σ = 254217600. Its totient is φ = 37238400.

The previous prime is 100866989. The next prime is 100867009. The reversal of 100867000 is 768001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100867009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9121 + ... + 16879.

It is an arithmetic number, because the mean of its divisors is an integer number (3972150).

Almost surely, 2^100867000 is an apocalyptic number.

100867000 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 100867000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127108800).

100867000 is an abundant number, since it is smaller than the sum of its proper divisors (153350600).

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

100867000 is a wasteful number, since it uses less digits than its factorization.

100867000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7793 (or 7779 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 100867000 is about 10043.2564440026. The cubic root of 100867000 is about 465.4964443983.

The spelling of 100867000 in words is "one hundred million, eight hundred sixty-seven thousand".