106146111725 has 48 divisors (see below), whose sum is σ = 143940443472. Its totient is φ = 77338460160.

The previous prime is 106146111719. The next prime is 106146111737. The reversal of 106146111725 is 527111641601.

It can be written as a sum of positive squares in 24 ways, for example, as 73426366729 + 32719744996 = 270973^2 + 180886^2 .

It is not a de Polignac number, because 106146111725 - 2⁸ = 106146111469 is a prime.

It is a super-2 number, since 2×106146111725² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1612049 + ... + 1676601.

It is an arithmetic number, because the mean of its divisors is an integer number (2998759239).

Almost surely, 2^106146111725 is an apocalyptic number.

It is an amenable number.

106146111725 is a deficient number, since it is larger than the sum of its proper divisors (37794331747).

106146111725 is a wasteful number, since it uses less digits than its factorization.

106146111725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64706 (or 64701 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 35.

The spelling of 106146111725 in words is "one hundred six billion, one hundred forty-six million, one hundred eleven thousand, seven hundred twenty-five".