106100684361 has 27 divisors (see below), whose sum is σ = 178289515053. Its totient is φ = 60625053720.

The previous prime is 106100684281. The next prime is 106100684399. The reversal of 106100684361 is 163486001601.

The square root of 106100684361 is 325731.

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

106100684361 is a `hidden beast` number, since 1 + 0 + 610 + 0 + 6 + 8 + 4 + 36 + 1 = 666.

It is not a de Polignac number, because 106100684361 - 2¹³ = 106100676169 is a prime.

It is a super-2 number, since 2×106100684361² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106100684561) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 6832596 + ... + 6848106.

Almost surely, 2^106100684361 is an apocalyptic number.

106100684361 is the 325731-st square number.

106100684361 is the 162866-th centered octagonal number.

It is an amenable number.

106100684361 is a deficient number, since it is larger than the sum of its proper divisors (72188830692).

106100684361 is an frugal number, since it uses more digits than its factorization.

106100684361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31042 (or 15521 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 106100684361 by its sum of digits (36), we get a square (3819624636996 = 1954386²).

Adding to 106100684361 its reverse (163486001601), we get a palindrome (269586685962).

The spelling of 106100684361 in words is "one hundred six billion, one hundred million, six hundred eighty-four thousand, three hundred sixty-one".