106362525633 has 24 divisors (see below), whose sum is σ = 175502668608. Its totient is φ = 56103308352.

The previous prime is 106362525631. The next prime is 106362525653. The reversal of 106362525633 is 336525263601.

It is not a de Polignac number, because 106362525633 - 2¹ = 106362525631 is a prime.

It is a super-2 number, since 2×106362525633² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106362525631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14981310 + ... + 14988407.

It is an arithmetic number, because the mean of its divisors is an integer number (7312611192).

Almost surely, 2^106362525633 is an apocalyptic number.

106362525633 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106362525633 is a deficient number, since it is larger than the sum of its proper divisors (69140142975).

106362525633 is a wasteful number, since it uses less digits than its factorization.

106362525633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29969753 (or 29969740 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 42.

The spelling of 106362525633 in words is "one hundred six billion, three hundred sixty-two million, five hundred twenty-five thousand, six hundred thirty-three".