10106106555645 has 48 divisors (see below), whose sum is σ = 17679254015280. Its totient is φ = 5340083770368.

The previous prime is 10106106555631. The next prime is 10106106555673. The reversal of 10106106555645 is 54655560160101.

10106106555645 is a `hidden beast` number, since 1 + 0 + 10 + 6 + 10 + 65 + 5 + 564 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3049783727769 + 7056322827876 = 1746363^2 + 2656374^2 .

It is not a de Polignac number, because 10106106555645 - 2⁶ = 10106106555581 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10106106555645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74453859 + ... + 74589471.

It is an arithmetic number, because the mean of its divisors is an integer number (368317791985).

Almost surely, 2^{10106106555645} is an apocalyptic number.

10106106555645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10106106555645 is a deficient number, since it is larger than the sum of its proper divisors (7573147459635).

10106106555645 is a wasteful number, since it uses less digits than its factorization.

10106106555645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150926 (or 150923 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 10106106555645 in words is "ten trillion, one hundred six billion, one hundred six million, five hundred fifty-five thousand, six hundred forty-five".