106201684996 has 27 divisors (see below), whose sum is σ = 204298437973. Its totient is φ = 48270234320.

The previous prime is 106201684957. The next prime is 106201685027. The reversal of 106201684996 is 699486102601.

It is a happy number.

The square root of 106201684996 is 325886.

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., 31637736900 + 74563948096 = 177870^2 + 273064^2 .

It is a super-2 number, since 2×106201684996² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7162086 + ... + 7176898.

Almost surely, 2^106201684996 is an apocalyptic number.

106201684996 is the 325886-th square number.

It is an amenable number.

106201684996 is a deficient number, since it is larger than the sum of its proper divisors (98096752977).

106201684996 is an frugal number, since it uses more digits than its factorization.

106201684996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29652 (or 14826 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 52.

It can be divided in two parts, 106201 and 684996, that added together give a palindrome (791197).

The spelling of 106201684996 in words is "one hundred six billion, two hundred one million, six hundred eighty-four thousand, nine hundred ninety-six".