106516926405 has 24 divisors (see below), whose sum is σ = 184641319512. Its totient is φ = 56805341184.

The previous prime is 106516926349. The next prime is 106516926407. The reversal of 106516926405 is 504629615601.

106516926405 is a `hidden beast` number, since 1 + 0 + 6 + 516 + 92 + 6 + 40 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8101080036 + 98415846369 = 90006^2 + 313713^2 .

It is not a de Polignac number, because 106516926405 - 2⁷ = 106516926277 is a prime.

It is a super-2 number, since 2×106516926405² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106516926407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 713857 + ... + 850073.

It is an arithmetic number, because the mean of its divisors is an integer number (7693388313).

Almost surely, 2^106516926405 is an apocalyptic number.

106516926405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106516926405 is a deficient number, since it is larger than the sum of its proper divisors (78124393107).

106516926405 is a wasteful number, since it uses less digits than its factorization.

106516926405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153605 (or 153602 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 106516926405 in words is "one hundred six billion, five hundred sixteen million, nine hundred twenty-six thousand, four hundred five".