106077702025 has 24 divisors (see below), whose sum is σ = 142670727864. Its totient is φ = 77922201600.

The previous prime is 106077702013. The next prime is 106077702037. The reversal of 106077702025 is 520207770601.

It is an interprime number because it is at equal distance from previous prime (106077702013) and next prime (106077702037).

It can be written as a sum of positive squares in 12 ways, for example, as 30018681081 + 76059020944 = 173259^2 + 275788^2 .

It is not a de Polignac number, because 106077702025 - 2¹¹ = 106077699977 is a prime.

It is a super-2 number, since 2×106077702025² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3026412 + ... + 3061261.

It is an arithmetic number, because the mean of its divisors is an integer number (5944613661).

Almost surely, 2^106077702025 is an apocalyptic number.

It is an amenable number.

106077702025 is a deficient number, since it is larger than the sum of its proper divisors (36593025839).

106077702025 is a wasteful number, since it uses less digits than its factorization.

106077702025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6087741 (or 6087736 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 37.

The spelling of 106077702025 in words is "one hundred six billion, seventy-seven million, seven hundred two thousand, twenty-five".