83105680 has 40 divisors (see below), whose sum is σ = 220825152. Its totient is φ = 28493184.

The previous prime is 83105669. The next prime is 83105747. The reversal of 83105680 is 8650138.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73642 + ... + 74761.

Almost surely, 2^83105680 is an apocalyptic number.

83105680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83105680 is an abundant number, since it is smaller than the sum of its proper divisors (137719472).

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

83105680 is a wasteful number, since it uses less digits than its factorization.

83105680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148423 (or 148417 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 83105680 is about 9116.2316776177. The cubic root of 83105680 is about 436.3921226143.

The spelling of 83105680 in words is "eighty-three million, one hundred five thousand, six hundred eighty".