105676577212170 has 64 divisors (see below), whose sum is σ = 269724698570880. Its totient is φ = 26422011260928.

The previous prime is 105676577212163. The next prime is 105676577212187. The reversal of 105676577212170 is 71212775676501.

It is a happy number.

It is a super-2 number, since 2×105676577212170² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 105676577212170.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 955601947 + ... + 955712526.

It is an arithmetic number, because the mean of its divisors is an integer number (4214448415170).

Almost surely, 2^{105676577212170} is an apocalyptic number.

105676577212170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105676577212170 is an abundant number, since it is smaller than the sum of its proper divisors (164048121358710).

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

105676577212170 is a wasteful number, since it uses less digits than its factorization.

105676577212170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911314599.

The product of its (nonzero) digits is 8643600, while the sum is 57.

The spelling of 105676577212170 in words is "one hundred five trillion, six hundred seventy-six billion, five hundred seventy-seven million, two hundred twelve thousand, one hundred seventy".