106144940340253 has 32 divisors (see below), whose sum is σ = 108838487503872. Its totient is φ = 103479346713600.

The previous prime is 106144940340223. The next prime is 106144940340287. The reversal of 106144940340253 is 352043049441601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 106144940340253 - 2⁴¹ = 103945917084701 is a prime.

It is a super-2 number, since 2×106144940340253² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106144940340223) 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 31 ways as a sum of consecutive naturals, for example, 12433513401 + ... + 12433521937.

It is an arithmetic number, because the mean of its divisors is an integer number (3401202734496).

Almost surely, 2^{106144940340253} is an apocalyptic number.

It is an amenable number.

106144940340253 is a deficient number, since it is larger than the sum of its proper divisors (2693547163619).

106144940340253 is a wasteful number, since it uses less digits than its factorization.

106144940340253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11085.

The product of its (nonzero) digits is 1244160, while the sum is 46.

Adding to 106144940340253 its reverse (352043049441601), we get a palindrome (458187989781854).

The spelling of 106144940340253 in words is "one hundred six trillion, one hundred forty-four billion, nine hundred forty million, three hundred forty thousand, two hundred fifty-three".