106575046391385 has 96 divisors (see below), whose sum is σ = 218127204142848. Its totient is φ = 47455800860160.

The previous prime is 106575046391339. The next prime is 106575046391431. The reversal of 106575046391385 is 583193640575601.

106575046391385 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 7 + 5 + 0 + 463 + 91 + 3 + 85 = 666.

It is an interprime number because it is at equal distance from previous prime (106575046391339) and next prime (106575046391431).

It is not a de Polignac number, because 106575046391385 - 2¹³ = 106575046383193 is a prime.

It is a super-2 number, since 2×106575046391385² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40767277 + ... + 43302666.

It is an arithmetic number, because the mean of its divisors is an integer number (2272158376488).

Almost surely, 2^{106575046391385} is an apocalyptic number.

106575046391385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106575046391385 is an abundant number, since it is smaller than the sum of its proper divisors (111552157751463).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106575046391385 is a wasteful number, since it uses less digits than its factorization.

106575046391385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84070175 (or 84070172 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 106575046391385 in words is "one hundred six trillion, five hundred seventy-five billion, forty-six million, three hundred ninety-one thousand, three hundred eighty-five".