105402046113 has 48 divisors (see below), whose sum is σ = 192445833216. Its totient is φ = 54094055040.

The previous prime is 105402046097. The next prime is 105402046153. The reversal of 105402046113 is 311640204501.

It is a happy number.

105402046113 is a `hidden beast` number, since 1 + 0 + 5 + 40 + 2 + 0 + 4 + 611 + 3 = 666.

It is not a de Polignac number, because 105402046113 - 2⁴ = 105402046097 is a prime.

It is a super-2 number, since 2×105402046113² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105402046153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1708833 + ... + 1769438.

It is an arithmetic number, because the mean of its divisors is an integer number (4009288192).

Almost surely, 2^105402046113 is an apocalyptic number.

105402046113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105402046113 is a deficient number, since it is larger than the sum of its proper divisors (87043787103).

105402046113 is a wasteful number, since it uses less digits than its factorization.

105402046113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3478334 (or 3478331 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 105402046113 in words is "one hundred five billion, four hundred two million, forty-six thousand, one hundred thirteen".