82801100 has 18 divisors (see below), whose sum is σ = 179678604. Its totient is φ = 33120400.

The previous prime is 82801063. The next prime is 82801109. The reversal of 82801100 is 110828.

It is a super-2 number, since 2×82801100² = 13712044322420000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (82801109) 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, 413906 + ... + 414105.

Almost surely, 2^82801100 is an apocalyptic number.

It is an amenable number.

82801100 is an abundant number, since it is smaller than the sum of its proper divisors (96877504).

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

82801100 is a wasteful number, since it uses less digits than its factorization.

82801100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828025 (or 828018 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 82801100 is about 9099.5109758712. The cubic root of 82801100 is about 435.8583483390.

Adding to 82801100 its reverse (110828), we get a palindrome (82911928).

The spelling of 82801100 in words is "eighty-two million, eight hundred one thousand, one hundred".