105120036042558 has 32 divisors (see below), whose sum is σ = 210969740226336. Its totient is φ = 34918505008128.

The previous prime is 105120036042523. The next prime is 105120036042599. The reversal of 105120036042558 is 855240630021501.

It is a super-2 number, since 2×105120036042558² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9012841 + ... + 17072532.

It is an arithmetic number, because the mean of its divisors is an integer number (6592804382073).

Almost surely, 2^{105120036042558} is an apocalyptic number.

105120036042558 is an abundant number, since it is smaller than the sum of its proper divisors (105849704183778).

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

105120036042558 is a wasteful number, since it uses less digits than its factorization.

105120036042558 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26087708.

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 105120036042558 in words is "one hundred five trillion, one hundred twenty billion, thirty-six million, forty-two thousand, five hundred fifty-eight".