100100080 has 80 divisors (see below), whose sum is σ = 249492960. Its totient is φ = 37216256.

The previous prime is 100100069. The next prime is 100100081. The reversal of 100100080 is 80001001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100081) 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, 120627 + ... + 121453.

It is an arithmetic number, because the mean of its divisors is an integer number (3118662).

Almost surely, 2^100100080 is an apocalyptic number.

100100080 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 100100080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124746480).

100100080 is an abundant number, since it is smaller than the sum of its proper divisors (149392880).

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

100100080 is a wasteful number, since it uses less digits than its factorization.

100100080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 100100080 is about 10005.0027486253. The cubic root of 100100080 is about 464.3136751377.

Adding to 100100080 its reverse (80001001), we get a palindrome (180101081).

The spelling of 100100080 in words is "one hundred million, one hundred thousand, eighty".