106514135983 has 8 divisors (see below), whose sum is σ = 112127698800. Its totient is φ = 100901328768.

The previous prime is 106514135963. The next prime is 106514136031. The reversal of 106514135983 is 389531415601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106514135983 - 2¹³ = 106514127791 is a prime.

It is a super-2 number, since 2×106514135983² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106514135963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112833 + ... + 475141.

It is an arithmetic number, because the mean of its divisors is an integer number (14015962350).

Almost surely, 2^106514135983 is an apocalyptic number.

106514135983 is a deficient number, since it is larger than the sum of its proper divisors (5613562817).

106514135983 is a wasteful number, since it uses less digits than its factorization.

106514135983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377801.

The product of its (nonzero) digits is 388800, while the sum is 46.

The spelling of 106514135983 in words is "one hundred six billion, five hundred fourteen million, one hundred thirty-five thousand, nine hundred eighty-three".