105917561052078 has 32 divisors (see below), whose sum is σ = 212879241459360. Its totient is φ = 35132168770560.

The previous prime is 105917561052053. The next prime is 105917561052089. The reversal of 105917561052078 is 870250165719501.

It is a super-2 number, since 2×105917561052078² (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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40607083 + ... + 43136646.

It is an arithmetic number, because the mean of its divisors is an integer number (6652476295605).

Almost surely, 2^{105917561052078} is an apocalyptic number.

105917561052078 is an abundant number, since it is smaller than the sum of its proper divisors (106961680407282).

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

105917561052078 is a wasteful number, since it uses less digits than its factorization.

105917561052078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83744772.

The product of its (nonzero) digits is 5292000, while the sum is 57.

The spelling of 105917561052078 in words is "one hundred five trillion, nine hundred seventeen billion, five hundred sixty-one million, fifty-two thousand, seventy-eight".