100015000 has 80 divisors (see below), whose sum is σ = 238142520. Its totient is φ = 39360000.

The previous prime is 100014983. The next prime is 100015009. The reversal of 100015000 is 510001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100015009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 414880 + ... + 415120.

Almost surely, 2^100015000 is an apocalyptic number.

100015000 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 100015000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119071260).

100015000 is an abundant number, since it is smaller than the sum of its proper divisors (138127520).

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

100015000 is an equidigital number, since it uses as much as digits as its factorization.

100015000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 7.

The square root of 100015000 is about 10000.7499718771. The cubic root of 100015000 is about 464.1820901451.

Adding to 100015000 its reverse (510001), we get a palindrome (100525001).

It can be divided in two parts, 10001 and 5000, that multiplied together give a triangular number (50005000 = T₁₀₀₀₀).

The spelling of 100015000 in words is "one hundred million, fifteen thousand".