105426254457110 has 256 divisors, whose sum is σ = 207432576000000. Its totient is φ = 38434214707200.

The previous prime is 105426254457091. The next prime is 105426254457119. The reversal of 105426254457110 is 11754452624501.

It is a happy number.

It is a super-2 number, since 2×105426254457110² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105426254457119) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84408529766 + ... + 84408531014.

It is an arithmetic number, because the mean of its divisors is an integer number (810283500000).

Almost surely, 2^{105426254457110} is an apocalyptic number.

105426254457110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105426254457110 is a deficient number, since it is larger than the sum of its proper divisors (102006321542890).

105426254457110 is a wasteful number, since it uses less digits than its factorization.

105426254457110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999.

The product of its (nonzero) digits is 1344000, while the sum is 47.

The spelling of 105426254457110 in words is "one hundred five trillion, four hundred twenty-six billion, two hundred fifty-four million, four hundred fifty-seven thousand, one hundred ten".