106162256499049 has 9 divisors (see below), whose sum is σ = 106561160905303. Its totient is φ = 105764839930552.

The previous prime is 106162256499023. The next prime is 106162256499067. The reversal of 106162256499049 is 940994652261601.

The square root of 106162256499049 is 10303507.

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., 6984957410649 + 99177299088400 = 2642907^2 + 9958780^2 .

It is not a de Polignac number, because 106162256499049 - 2²³ = 106162248110441 is a prime.

It is a super-2 number, since 2×106162256499049² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106162256499349) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2771624232 + ... + 2771662534.

Almost surely, 2^{106162256499049} is an apocalyptic number.

106162256499049 is the 10303507-th square number.

106162256499049 is the 5151754-th centered octagonal number.

It is an amenable number.

106162256499049 is a deficient number, since it is larger than the sum of its proper divisors (398904406254).

106162256499049 is an frugal number, since it uses more digits than its factorization.

106162256499049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77144 (or 38572 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 64.

The spelling of 106162256499049 in words is "one hundred six trillion, one hundred sixty-two billion, two hundred fifty-six million, four hundred ninety-nine thousand, forty-nine".