83800101 has 32 divisors (see below), whose sum is σ = 139908096. Its totient is φ = 43344000.

The previous prime is 83800097. The next prime is 83800121. The reversal of 83800101 is 10100838.

It is a happy number.

It is not a de Polignac number, because 83800101 - 2² = 83800097 is a prime.

It is a super-2 number, since 2×83800101² = 14044913855220402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83800121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64266 + ... + 65556.

It is an arithmetic number, because the mean of its divisors is an integer number (4372128).

Almost surely, 2^83800101 is an apocalyptic number.

It is an amenable number.

83800101 is a deficient number, since it is larger than the sum of its proper divisors (56107995).

83800101 is a wasteful number, since it uses less digits than its factorization.

83800101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593.

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 83800101 is about 9154.2395096480. The cubic root of 83800101 is about 437.6042326888.

Adding to 83800101 its reverse (10100838), we get a palindrome (93900939).

The spelling of 83800101 in words is "eighty-three million, eight hundred thousand, one hundred one".