100083080 has 64 divisors (see below), whose sum is σ = 243019440. Its totient is φ = 36954112.

The previous prime is 100083047. The next prime is 100083101. The reversal of 100083080 is 80380001.

It can be written as a sum of positive squares in 8 ways, for example, as 50154724 + 49928356 = 7082^2 + 7066^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34652 + ... + 37428.

Almost surely, 2^100083080 is an apocalyptic number.

100083080 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 100083080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121509720).

100083080 is an abundant number, since it is smaller than the sum of its proper divisors (142936360).

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

100083080 is a wasteful number, since it uses less digits than its factorization.

100083080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 100083080 is about 10004.1531375724. The cubic root of 100083080 is about 464.2873888472.

The spelling of 100083080 in words is "one hundred million, eighty-three thousand, eighty".