106270153856253 has 24 divisors (see below), whose sum is σ = 160176171729600. Its totient is φ = 67766107960320.

The previous prime is 106270153856233. The next prime is 106270153856257. The reversal of 106270153856253 is 352658351072601.

106270153856253 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 7 + 0 + 1 + 5 + 3 + 8 + 5 + 625 + 3 = 666.

It is not a de Polignac number, because 106270153856253 - 2²⁰ = 106270152807677 is a prime.

It is a super-2 number, since 2×106270153856253² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106270153856253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106270153856257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39881533 + ... + 42462653.

It is an arithmetic number, because the mean of its divisors is an integer number (6674007155400).

Almost surely, 2^{106270153856253} is an apocalyptic number.

It is an amenable number.

106270153856253 is a deficient number, since it is larger than the sum of its proper divisors (53906017873347).

106270153856253 is a wasteful number, since it uses less digits than its factorization.

106270153856253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780049 (or 2780046 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 106270153856253 in words is "one hundred six trillion, two hundred seventy billion, one hundred fifty-three million, eight hundred fifty-six thousand, two hundred fifty-three".