106434371457 has 6 divisors (see below), whose sum is σ = 153738536562. Its totient is φ = 70956247632.

The previous prime is 106434371453. The next prime is 106434371479. The reversal of 106434371457 is 754173434601.

106434371457 is a `hidden beast` number, since 10 + 64 + 3 + 437 + 145 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 73739945601 + 32694425856 = 271551^2 + 180816^2 .

It is not a de Polignac number, because 106434371457 - 2² = 106434371453 is a prime.

It is a super-2 number, since 2×106434371457² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106434371453) 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, 5913020628 + ... + 5913020645.

It is an arithmetic number, because the mean of its divisors is an integer number (25623089427).

Almost surely, 2^106434371457 is an apocalyptic number.

It is an amenable number.

106434371457 is a deficient number, since it is larger than the sum of its proper divisors (47304165105).

106434371457 is a wasteful number, since it uses less digits than its factorization.

106434371457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11826041279 (or 11826041276 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 106434371457 in words is "one hundred six billion, four hundred thirty-four million, three hundred seventy-one thousand, four hundred fifty-seven".