106639474249 has 27 divisors (see below), whose sum is σ = 136384638663. Its totient is φ = 83076100800.

The previous prime is 106639474247. The next prime is 106639474273. The reversal of 106639474249 is 942474936601.

The square root of 106639474249 is 326557.

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

It can be written as a sum of positive squares in only one way, i.e., 105036272649 + 1603201600 = 324093^2 + 40040^2 .

It is not a de Polignac number, because 106639474249 - 2¹ = 106639474247 is a prime.

It is a super-2 number, since 2×106639474249² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106639474249.

It is not an unprimeable number, because it can be changed into a prime (106639474243) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25142769 + ... + 25147009.

Almost surely, 2^106639474249 is an apocalyptic number.

106639474249 is the 326557-th square number.

106639474249 is the 163279-th centered octagonal number.

It is an amenable number.

106639474249 is a deficient number, since it is larger than the sum of its proper divisors (29745164414).

106639474249 is an frugal number, since it uses more digits than its factorization.

106639474249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8518 (or 4259 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 55.

The spelling of 106639474249 in words is "one hundred six billion, six hundred thirty-nine million, four hundred seventy-four thousand, two hundred forty-nine".