10106106555648 has 72 divisors (see below), whose sum is σ = 26899856373600. Its totient is φ = 3368342124544.

The previous prime is 10106106555631. The next prime is 10106106555673. The reversal of 10106106555648 is 84655560160101.

It is a super-2 number, since 2×10106106555648² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 10106106555597 and 10106106555606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6535258 + ... + 7932326.

It is an arithmetic number, because the mean of its divisors is an integer number (373609116300).

Almost surely, 2^{10106106555648} is an apocalyptic number.

It is an amenable number.

10106106555648 is an abundant number, since it is smaller than the sum of its proper divisors (16793749817952).

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

10106106555648 is an equidigital number, since it uses as much as digits as its factorization.

10106106555648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406507 (or 1406493 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 48.

The spelling of 10106106555648 in words is "ten trillion, one hundred six billion, one hundred six million, five hundred fifty-five thousand, six hundred forty-eight".