106612057444 has 24 divisors (see below), whose sum is σ = 191956275000. Its totient is φ = 51778763520.

The previous prime is 106612057429. The next prime is 106612057463. The reversal of 106612057444 is 444750216601.

It can be written as a sum of positive squares in 4 ways, for example, as 39589060900 + 67022996544 = 198970^2 + 258888^2 .

It is a super-2 number, since 2×106612057444² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106612057397 and 106612057406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1381819 + ... + 1456930.

It is an arithmetic number, because the mean of its divisors is an integer number (7998178125).

Almost surely, 2^106612057444 is an apocalyptic number.

It is an amenable number.

106612057444 is a deficient number, since it is larger than the sum of its proper divisors (85344217556).

106612057444 is a wasteful number, since it uses less digits than its factorization.

106612057444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839023 (or 2839021 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 106612057444 in words is "one hundred six billion, six hundred twelve million, fifty-seven thousand, four hundred forty-four".