106638350385 has 24 divisors (see below), whose sum is σ = 198477910656. Its totient is φ = 48748959840.

The previous prime is 106638350369. The next prime is 106638350393. The reversal of 106638350385 is 583053836601.

It is not a de Polignac number, because 106638350385 - 2⁴ = 106638350369 is a prime.

It is a super-2 number, since 2×106638350385² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72542361 + ... + 72543830.

It is an arithmetic number, because the mean of its divisors is an integer number (8269912944).

Almost surely, 2^106638350385 is an apocalyptic number.

106638350385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106638350385 is a deficient number, since it is larger than the sum of its proper divisors (91839560271).

106638350385 is a wasteful number, since it uses less digits than its factorization.

106638350385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145086213 (or 145086206 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 106638350385 in words is "one hundred six billion, six hundred thirty-eight million, three hundred fifty thousand, three hundred eighty-five".