106387582053 has 16 divisors (see below), whose sum is σ = 144010385856. Its totient is φ = 69845550720.

The previous prime is 106387582039. The next prime is 106387582061. The reversal of 106387582053 is 350285783601.

It is a de Polignac number, because none of the positive numbers 2^k-106387582053 is a prime.

It is a super-2 number, since 2×106387582053² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106387581993 and 106387582011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106387582013) 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 15 ways as a sum of consecutive naturals, for example, 608473 + ... + 763553.

It is an arithmetic number, because the mean of its divisors is an integer number (9000649116).

Almost surely, 2^106387582053 is an apocalyptic number.

It is an amenable number.

106387582053 is a deficient number, since it is larger than the sum of its proper divisors (37622803803).

106387582053 is a wasteful number, since it uses less digits than its factorization.

106387582053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158564.

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 106387582053 in words is "one hundred six billion, three hundred eighty-seven million, five hundred eighty-two thousand, fifty-three".