10674434337105 has 64 divisors (see below), whose sum is σ = 21314522880000. Its totient is φ = 4431731512320.

The previous prime is 10674434337101. The next prime is 10674434337113. The reversal of 10674434337105 is 50173343447601.

It is a happy number.

It is not a de Polignac number, because 10674434337105 - 2² = 10674434337101 is a prime.

It is a super-2 number, since 2×10674434337105² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10674434337101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3414355 + ... + 5745144.

It is an arithmetic number, because the mean of its divisors is an integer number (333039420000).

Almost surely, 2^{10674434337105} is an apocalyptic number.

10674434337105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10674434337105 is a deficient number, since it is larger than the sum of its proper divisors (10640088542895).

10674434337105 is a wasteful number, since it uses less digits than its factorization.

10674434337105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9160534.

The product of its (nonzero) digits is 2540160, while the sum is 48.

The spelling of 10674434337105 in words is "ten trillion, six hundred seventy-four billion, four hundred thirty-four million, three hundred thirty-seven thousand, one hundred five".