100887150 has 192 divisors, whose sum is σ = 324979200. Its totient is φ = 20113920.

The previous prime is 100887139. The next prime is 100887151. The reversal of 100887150 is 51788001.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100887151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 259156 + ... + 259544.

It is an arithmetic number, because the mean of its divisors is an integer number (1692600).

Almost surely, 2^100887150 is an apocalyptic number.

100887150 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 100887150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489600).

100887150 is an abundant number, since it is smaller than the sum of its proper divisors (224092050).

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

100887150 is a wasteful number, since it uses less digits than its factorization.

100887150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 30.

The square root of 100887150 is about 10044.2595545914. The cubic root of 100887150 is about 465.5274394341.

The spelling of 100887150 in words is "one hundred million, eight hundred eighty-seven thousand, one hundred fifty".