106939631510244 has 189 divisors, whose sum is σ = 303852793473369. Its totient is φ = 32902268312160.

The previous prime is 106939631510233. The next prime is 106939631510267. The reversal of 106939631510244 is 442015136939601.

The square root of 106939631510244 is 10341162.

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

106939631510244 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 3 + 96 + 31 + 510 + 2 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15819472116900 + 91120159393344 = 3977370^2 + 9545688^2 .

It is a super-2 number, since 2×106939631510244² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 7259488359 + ... + 7259503089.

Almost surely, 2^{106939631510244} is an apocalyptic number.

106939631510244 is the 10341162-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106939631510244

106939631510244 is an abundant number, since it is smaller than the sum of its proper divisors (196913161963125).

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

106939631510244 is an frugal number, since it uses more digits than its factorization.

106939631510244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29510 (or 14749 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 106939631510244 in words is "one hundred six trillion, nine hundred thirty-nine billion, six hundred thirty-one million, five hundred ten thousand, two hundred forty-four".