106385370725 has 12 divisors (see below), whose sum is σ = 131957925060. Its totient is φ = 85082448000.

The previous prime is 106385370691. The next prime is 106385370757. The reversal of 106385370725 is 527073583601.

It can be written as a sum of positive squares in 6 ways, for example, as 37262125156 + 69123245569 = 193034^2 + 262913^2 .

It is not a de Polignac number, because 106385370725 - 2³⁰ = 105311628901 is a prime.

It is a super-2 number, since 2×106385370725² (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 106385370725.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 562040 + ... + 727089.

It is an arithmetic number, because the mean of its divisors is an integer number (10996493755).

Almost surely, 2^106385370725 is an apocalyptic number.

It is an amenable number.

106385370725 is a deficient number, since it is larger than the sum of its proper divisors (25572554335).

106385370725 is a wasteful number, since it uses less digits than its factorization.

106385370725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292440 (or 1292435 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 47.

The spelling of 106385370725 in words is "one hundred six billion, three hundred eighty-five million, three hundred seventy thousand, seven hundred twenty-five".