100105498413339 has 128 divisors (see below), whose sum is σ = 148332706652160. Its totient is φ = 59842480997376.

The previous prime is 100105498413331. The next prime is 100105498413359. The reversal of 100105498413339 is 933314894501001.

It is a happy number.

It is not a de Polignac number, because 100105498413339 - 2³ = 100105498413331 is a prime.

It is a super-2 number, since 2×100105498413339² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100105498413291 and 100105498413300.

It is not an unprimeable number, because it can be changed into a prime (100105498413331) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21560518552 + ... + 21560523194.

It is an arithmetic number, because the mean of its divisors is an integer number (1158849270720).

Almost surely, 2^{100105498413339} is an apocalyptic number.

100105498413339 is a deficient number, since it is larger than the sum of its proper divisors (48227208238821).

100105498413339 is a wasteful number, since it uses less digits than its factorization.

100105498413339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7041.

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 100105498413339 in words is "one hundred trillion, one hundred five billion, four hundred ninety-eight million, four hundred thirteen thousand, three hundred thirty-nine".