106502364409 has 27 divisors (see below), whose sum is σ = 129575171397. Its totient is φ = 87275630904.

The previous prime is 106502364407. The next prime is 106502364421. The reversal of 106502364409 is 904463205601.

The square root of 106502364409 is 326347.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 106502364409 - 2¹ = 106502364407 is a prime.

It is a super-2 number, since 2×106502364409² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106502364407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52540854 + ... + 52542880.

Almost surely, 2^106502364409 is an apocalyptic number.

106502364409 is the 326347-th square number.

106502364409 is the 163174-th centered octagonal number.

It is an amenable number.

106502364409 is a deficient number, since it is larger than the sum of its proper divisors (23072806988).

106502364409 is an frugal number, since it uses more digits than its factorization.

106502364409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 106502364409 in words is "one hundred six billion, five hundred two million, three hundred sixty-four thousand, four hundred nine".