105261656422153 has 16 divisors (see below), whose sum is σ = 131237140746240. Its totient is φ = 82020926912400.

The previous prime is 105261656422129. The next prime is 105261656422157. The reversal of 105261656422153 is 351224656162501.

It is not a de Polignac number, because 105261656422153 - 2¹³ = 105261656413961 is a prime.

It is a super-2 number, since 2×105261656422153² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105261656422097 and 105261656422106.

It is not an unprimeable number, because it can be changed into a prime (105261656422157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3942823 + ... + 15035596.

It is an arithmetic number, because the mean of its divisors is an integer number (8202321296640).

Almost surely, 2^{105261656422153} is an apocalyptic number.

It is an amenable number.

105261656422153 is a deficient number, since it is larger than the sum of its proper divisors (25975484324087).

105261656422153 is a wasteful number, since it uses less digits than its factorization.

105261656422153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19050468.

The product of its (nonzero) digits is 2592000, while the sum is 49.

The spelling of 105261656422153 in words is "one hundred five trillion, two hundred sixty-one billion, six hundred fifty-six million, four hundred twenty-two thousand, one hundred fifty-three".