1456413102105 has 32 divisors (see below), whose sum is σ = 2512539240960. Its totient is φ = 716138392320.

The previous prime is 1456413102071. The next prime is 1456413102113. The reversal of 1456413102105 is 5012013146541.

It is not a de Polignac number, because 1456413102105 - 2⁶ = 1456413102041 is a prime.

It is a super-2 number, since 2×1456413102105² (a number of 25 digits) contains 22 as substring.

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, 4343041 + ... + 4666350.

It is an arithmetic number, because the mean of its divisors is an integer number (78516851280).

Almost surely, 2^{1456413102105} is an apocalyptic number.

1456413102105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1456413102105 is a deficient number, since it is larger than the sum of its proper divisors (1056126138855).

1456413102105 is a wasteful number, since it uses less digits than its factorization.

1456413102105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9010241.

The product of its (nonzero) digits is 14400, while the sum is 33.

Adding to 1456413102105 its reverse (5012013146541), we get a palindrome (6468426248646).

The spelling of 1456413102105 in words is "one trillion, four hundred fifty-six billion, four hundred thirteen million, one hundred two thousand, one hundred five".