106556643025 has 24 divisors (see below), whose sum is σ = 159888695040. Its totient is φ = 68769327360.

The previous prime is 106556643007. The next prime is 106556643043. The reversal of 106556643025 is 520346655601.

It is an interprime number because it is at equal distance from previous prime (106556643007) and next prime (106556643043).

It is not a de Polignac number, because 106556643025 - 2¹⁵ = 106556610257 is a prime.

It is a super-2 number, since 2×106556643025² (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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17905705 + ... + 17911654.

It is an arithmetic number, because the mean of its divisors is an integer number (6662028960).

Almost surely, 2^106556643025 is an apocalyptic number.

It is an amenable number.

106556643025 is a deficient number, since it is larger than the sum of its proper divisors (53332052015).

106556643025 is a wasteful number, since it uses less digits than its factorization.

106556643025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35817393 (or 35817388 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 43.

The spelling of 106556643025 in words is "one hundred six billion, five hundred fifty-six million, six hundred forty-three thousand, twenty-five".