82901649105 has 48 divisors (see below), whose sum is σ = 156783908736. Its totient is φ = 40188476160.

The previous prime is 82901649097. The next prime is 82901649109. The reversal of 82901649105 is 50194610928.

It is not a de Polignac number, because 82901649105 - 2³ = 82901649097 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (82901649109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5627229 + ... + 5641941.

It is an arithmetic number, because the mean of its divisors is an integer number (3266331432).

Almost surely, 2^82901649105 is an apocalyptic number.

It is an amenable number.

82901649105 is a deficient number, since it is larger than the sum of its proper divisors (73882259631).

82901649105 is a wasteful number, since it uses less digits than its factorization.

82901649105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26118 (or 26115 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 82901649105 in words is "eighty-two billion, nine hundred one million, six hundred forty-nine thousand, one hundred five".