105196978222848 has 180 divisors, whose sum is σ = 315602771800008. Its totient is φ = 34850531543040.

The previous prime is 105196978222801. The next prime is 105196978222913. The reversal of 105196978222848 is 848222879691501.

105196978222848 is a `hidden beast` number, since 1 + 0 + 519 + 6 + 9 + 7 + 8 + 2 + 22 + 84 + 8 = 666.

It is a super-2 number, since 2×105196978222848² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12181863 + ... + 18941798.

Almost surely, 2^{105196978222848} is an apocalyptic number.

105196978222848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105196978222848 is an abundant number, since it is smaller than the sum of its proper divisors (210405793577160).

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

105196978222848 is an equidigital number, since it uses as much as digits as its factorization.

105196978222848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31123852 (or 31123829 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 105196978222848 in words is "one hundred five trillion, one hundred ninety-six billion, nine hundred seventy-eight million, two hundred twenty-two thousand, eight hundred forty-eight".