106467952769 has 6 divisors (see below), whose sum is σ = 109423237014. Its totient is φ = 103590439200.

The previous prime is 106467952763. The next prime is 106467952771. The reversal of 106467952769 is 967259764601.

It can be written as a sum of positive squares in 3 ways, for example, as 32191536400 + 74276416369 = 179420^2 + 272537^2 .

It is not a de Polignac number, because 106467952769 - 2¹² = 106467948673 is a prime.

It is a super-2 number, since 2×106467952769² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106467952763) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 38883932 + ... + 38886669.

It is an arithmetic number, because the mean of its divisors is an integer number (18237206169).

Almost surely, 2^106467952769 is an apocalyptic number.

It is an amenable number.

106467952769 is a deficient number, since it is larger than the sum of its proper divisors (2955284245).

106467952769 is an frugal number, since it uses more digits than its factorization.

106467952769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77770675 (or 77770638 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 62.

The spelling of 106467952769 in words is "one hundred six billion, four hundred sixty-seven million, nine hundred fifty-two thousand, seven hundred sixty-nine".