100381000 has 64 divisors (see below), whose sum is σ = 241328880. Its totient is φ = 39052800.

The previous prime is 100380991. The next prime is 100381003. The reversal of 100381000 is 183001.

It can be written as a sum of positive squares in 8 ways, for example, as 45887076 + 54493924 = 6774^2 + 7382^2 .

It is a super-2 number, since 2×100381000² = 20152690322000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100381003) 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, 35644 + ... + 38356.

Almost surely, 2^100381000 is an apocalyptic number.

100381000 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 100381000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120664440).

100381000 is an abundant number, since it is smaller than the sum of its proper divisors (140947880).

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

100381000 is a wasteful number, since it uses less digits than its factorization.

100381000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 100381000 is about 10019.0318893594. The cubic root of 100381000 is about 464.7476180819.

The spelling of 100381000 in words is "one hundred million, three hundred eighty-one thousand".