106287757828371 has 40 divisors (see below), whose sum is σ = 182005970471424. Its totient is φ = 60552369480240.

The previous prime is 106287757828363. The next prime is 106287757828387. The reversal of 106287757828371 is 173828757782601.

106287757828371 is a `hidden beast` number, since 1 + 0 + 6 + 28 + 7 + 7 + 578 + 28 + 3 + 7 + 1 = 666.

It is not a de Polignac number, because 106287757828371 - 2³ = 106287757828363 is a prime.

It is a super-2 number, since 2×106287757828371² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106287757828371.

It is not an unprimeable number, because it can be changed into a prime (106287757828391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 282979035 + ... + 283354388.

Almost surely, 2^{106287757828371} is an apocalyptic number.

106287757828371 is a deficient number, since it is larger than the sum of its proper divisors (75718212643053).

106287757828371 is an equidigital number, since it uses as much as digits as its factorization.

106287757828371 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566333773 (or 566333764 counting only the distinct ones).

The product of its (nonzero) digits is 442552320, while the sum is 72.

The spelling of 106287757828371 in words is "one hundred six trillion, two hundred eighty-seven billion, seven hundred fifty-seven million, eight hundred twenty-eight thousand, three hundred seventy-one".