100013000 has 64 divisors (see below), whose sum is σ = 236545920. Its totient is φ = 39576000.

The previous prime is 100012987. The next prime is 100013021. The reversal of 100013000 is 310001.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102515 + ... + 103485.

It is an arithmetic number, because the mean of its divisors is an integer number (3696030).

Almost surely, 2^100013000 is an apocalyptic number.

100013000 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 100013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118272960).

100013000 is an abundant number, since it is smaller than the sum of its proper divisors (136532920).

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

100013000 is a wasteful number, since it uses less digits than its factorization.

100013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 5.

The square root of 100013000 is about 10000.6499788764. The cubic root of 100013000 is about 464.1789960414.

Adding to 100013000 its reverse (310001), we get a palindrome (100323001).

The spelling of 100013000 in words is "one hundred million, thirteen thousand".