105277121495296 has 27 divisors (see below), whose sum is σ = 210143331928831. Its totient is φ = 52638478663936.

The previous prime is 105277121495267. The next prime is 105277121495303. The reversal of 105277121495296 is 692594121772501.

The square root of 105277121495296 is 10260464.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×105277121495296² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 163846785 + ... + 164488063.

Almost surely, 2^{105277121495296} is an apocalyptic number.

105277121495296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

105277121495296 is the 10260464-th square number.

It is an amenable number.

105277121495296 is a deficient number, since it is larger than the sum of its proper divisors (104866210433535).

105277121495296 is an frugal number, since it uses more digits than its factorization.

105277121495296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282574 (or 641281 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 61.

The spelling of 105277121495296 in words is "one hundred five trillion, two hundred seventy-seven billion, one hundred twenty-one million, four hundred ninety-five thousand, two hundred ninety-six".