106257488077 has 36 divisors (see below), whose sum is σ = 119669076540. Its totient is φ = 94300717056.

The previous prime is 106257488033. The next prime is 106257488081. The reversal of 106257488077 is 770884752601.

It can be written as a sum of positive squares in 18 ways, for example, as 35383867236 + 70873620841 = 188106^2 + 266221^2 .

It is not a de Polignac number, because 106257488077 - 2¹¹ = 106257486029 is a prime.

It is a super-2 number, since 2×106257488077² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106257488977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36525699 + ... + 36528607.

It is an arithmetic number, because the mean of its divisors is an integer number (3324141015).

Almost surely, 2^106257488077 is an apocalyptic number.

It is an amenable number.

106257488077 is a deficient number, since it is larger than the sum of its proper divisors (13411588463).

106257488077 is a wasteful number, since it uses less digits than its factorization.

106257488077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 55.

The spelling of 106257488077 in words is "one hundred six billion, two hundred fifty-seven million, four hundred eighty-eight thousand, seventy-seven".