100905000 has 240 divisors, whose sum is σ = 372255840. Its totient is φ = 22320000.

The previous prime is 100904983. The next prime is 100905017. The reversal of 100905000 is 509001.

It is an interprime number because it is at equal distance from previous prime (100904983) and next prime (100905017).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3254985 + ... + 3255015.

It is an arithmetic number, because the mean of its divisors is an integer number (1551066).

Almost surely, 2^100905000 is an apocalyptic number.

100905000 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 100905000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186127920).

100905000 is an abundant number, since it is smaller than the sum of its proper divisors (271350840).

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

100905000 is an equidigital number, since it uses as much as digits as its factorization.

100905000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 100905000 is about 10045.1480825322. The cubic root of 100905000 is about 465.5548931279.

The spelling of 100905000 in words is "one hundred million, nine hundred five thousand".