105385882098 has 32 divisors (see below), whose sum is σ = 240951352320. Its totient is φ = 30101585040.

The previous prime is 105385882093. The next prime is 105385882111. The reversal of 105385882098 is 890288583501.

It is a super-3 number, since 3×105385882098³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105385882093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212758 + ... + 506001.

It is an arithmetic number, because the mean of its divisors is an integer number (7529729760).

Almost surely, 2^105385882098 is an apocalyptic number.

105385882098 is an abundant number, since it is smaller than the sum of its proper divisors (135565470222).

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

105385882098 is a wasteful number, since it uses less digits than its factorization.

105385882098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722262.

The product of its (nonzero) digits is 5529600, while the sum is 57.

The spelling of 105385882098 in words is "one hundred five billion, three hundred eighty-five million, eight hundred eighty-two thousand, ninety-eight".