106445164303335 has 192 divisors, whose sum is σ = 202823834734080. Its totient is φ = 47253440931840.

The previous prime is 106445164303327. The next prime is 106445164303369. The reversal of 106445164303335 is 533303461544601.

It is a happy number.

It is not a de Polignac number, because 106445164303335 - 2³ = 106445164303327 is a prime.

It is a super-2 number, since 2×106445164303335² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1981564897 + ... + 1981618613.

It is an arithmetic number, because the mean of its divisors is an integer number (1056374139240).

Almost surely, 2^{106445164303335} is an apocalyptic number.

106445164303335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106445164303335 is a deficient number, since it is larger than the sum of its proper divisors (96378670430745).

106445164303335 is a wasteful number, since it uses less digits than its factorization.

106445164303335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54338 (or 54325 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 106445164303335 in words is "one hundred six trillion, four hundred forty-five billion, one hundred sixty-four million, three hundred three thousand, three hundred thirty-five".