106414187423253 has 64 divisors (see below), whose sum is σ = 160570842808320. Its totient is φ = 62356318041600.

The previous prime is 106414187423221. The next prime is 106414187423281. The reversal of 106414187423253 is 352324781414601.

It is not a de Polignac number, because 106414187423253 - 2⁵ = 106414187423221 is a prime.

It is a super-2 number, since 2×106414187423253² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106414187423196 and 106414187423205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106414187423353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3577068 + ... + 15020778.

It is an arithmetic number, because the mean of its divisors is an integer number (2508919418880).

Almost surely, 2^{106414187423253} is an apocalyptic number.

It is an amenable number.

106414187423253 is a deficient number, since it is larger than the sum of its proper divisors (54156655385067).

106414187423253 is a wasteful number, since it uses less digits than its factorization.

106414187423253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11443970.

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 106414187423253 in words is "one hundred six trillion, four hundred fourteen billion, one hundred eighty-seven million, four hundred twenty-three thousand, two hundred fifty-three".