100270080 has 216 divisors, whose sum is σ = 368048772. Its totient is φ = 25165824.

The previous prime is 100270069. The next prime is 100270103. The reversal of 100270080 is 80072001.

It can be written as a sum of positive squares in 2 ways, for example, as 99680256 + 589824 = 9984^2 + 768^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5898232 + ... + 5898248.

Almost surely, 2^100270080 is an apocalyptic number.

100270080 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 100270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184024386).

100270080 is an abundant number, since it is smaller than the sum of its proper divisors (267778692).

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

100270080 is an frugal number, since it uses more digits than its factorization.

100270080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 100270080 is about 10013.4948943913. The cubic root of 100270080 is about 464.5763745039.

The spelling of 100270080 in words is "one hundred million, two hundred seventy thousand, eighty".