106689769956 has 405 divisors, whose sum is σ = 349276882409. Its totient is φ = 27437256000.

The previous prime is 106689769937. The next prime is 106689769987. The reversal of 106689769956 is 659967986601.

The square root of 106689769956 is 326634.

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

It can be written as a sum of positive squares in only one way, i.e., 102506267556 + 4183502400 = 320166^2 + 64680^2 .

It is a super-2 number, since 2×106689769956² (a number of 23 digits) contains 22 as substring.

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 134 ways as a sum of consecutive naturals, for example, 1056334306 + ... + 1056334406.

Almost surely, 2^106689769956 is an apocalyptic number.

106689769956 is the 326634-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106689769956

106689769956 is an abundant number, since it is smaller than the sum of its proper divisors (242587112453).

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

106689769956 is a wasteful number, since it uses less digits than its factorization.

106689769956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 106689769956 in words is "one hundred six billion, six hundred eighty-nine million, seven hundred sixty-nine thousand, nine hundred fifty-six".