106405101052 has 24 divisors (see below), whose sum is σ = 190628695152. Its totient is φ = 51954192000.

The previous prime is 106405100959. The next prime is 106405101083. The reversal of 106405101052 is 250101504601.

It is a happy number.

It is a super-2 number, since 2×106405101052² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1774474 + ... + 1833457.

It is an arithmetic number, because the mean of its divisors is an integer number (7942862298).

Almost surely, 2^106405101052 is an apocalyptic number.

It is an amenable number.

106405101052 is a deficient number, since it is larger than the sum of its proper divisors (84223594100).

106405101052 is a wasteful number, since it uses less digits than its factorization.

106405101052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608109 (or 3608107 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 106405101052 its reverse (250101504601), we get a palindrome (356506605653).

The spelling of 106405101052 in words is "one hundred six billion, four hundred five million, one hundred one thousand, fifty-two".