106431665205105 has 32 divisors (see below), whose sum is σ = 192313682862720. Its totient is φ = 55833004693440.

The previous prime is 106431665205077. The next prime is 106431665205113. The reversal of 106431665205105 is 501502566134601.

106431665205105 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 3 + 16 + 6 + 520 + 5 + 105 = 666.

It is not a de Polignac number, because 106431665205105 - 2¹² = 106431665201009 is a prime.

It is a super-2 number, since 2×106431665205105² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 6462145087 + ... + 6462161556.

It is an arithmetic number, because the mean of its divisors is an integer number (6009802589460).

Almost surely, 2^{106431665205105} is an apocalyptic number.

106431665205105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106431665205105 is a deficient number, since it is larger than the sum of its proper divisors (85882017657615).

106431665205105 is a wasteful number, since it uses less digits than its factorization.

106431665205105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12924306718 (or 12924306712 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 106431665205105 in words is "one hundred six trillion, four hundred thirty-one billion, six hundred sixty-five million, two hundred five thousand, one hundred five".