100000 has 36 divisors (see below), whose sum is σ = 246078. Its totient is φ = 40000.

The previous prime is 99991. The next prime is 100003. The reversal of 100000 is 1.

It is a happy number.

It is a perfect power (a 5-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 144 + 99856 = 12^2 + 316^2 .

It is a Harshad number since it is a multiple of its sum of digits (1).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (100003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19998 + ... + 20002.

2^{100000} is an apocalyptic number.

100000 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 100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123039).

100000 is an abundant number, since it is smaller than the sum of its proper divisors (146078).

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

100000 is an frugal number, since it uses more digits than its factorization.

100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 1.

The square root of 100000 is about 316.2277660168. The cubic root of 100000 is about 46.4158883361.

The spelling of 100000 in words is "one hundred thousand", and is thus an iban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000

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