106137820944 has 135 divisors (see below), whose sum is σ = 315736858047. Its totient is φ = 33277289472.

The previous prime is 106137820913. The next prime is 106137820951. The reversal of 106137820944 is 449028731601.

The square root of 106137820944 is 325788.

It is a perfect power (a square), and thus also a powerful number.

106137820944 is a `hidden beast` number, since 1 + 0 + 613 + 7 + 8 + 20 + 9 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70358544 + 106067462400 = 8388^2 + 325680^2 .

It is a super-2 number, since 2×106137820944² (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 106137820944.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 66459954 + ... + 66461550.

Almost surely, 2^106137820944 is an apocalyptic number.

106137820944 is the 325788-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106137820944

106137820944 is an abundant number, since it is smaller than the sum of its proper divisors (209599037103).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106137820944 is an equidigital number, since it uses as much as digits as its factorization.

106137820944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3242 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 106137820944 in words is "one hundred six billion, one hundred thirty-seven million, eight hundred twenty thousand, nine hundred forty-four".