Search a number
-
+
106995718404 = 2232545172
BaseRepresentation
bin110001110100101110…
…0010001100100000100
3101020011201022122210100
41203221130101210010
53223111400442104
6121053025324100
710505311412661
oct1435134214404
9336151278710
10106995718404
1141416325963
12188a0796630
13a121c768a3
1452701c4a68
152bb34aa139
hex18e9711904

106995718404 has 27 divisors (see below), whose sum is σ = 270466360437. Its totient is φ = 35664585264.

The previous prime is 106995718393. The next prime is 106995718451. The reversal of 106995718404 is 404817599601.

The square root of 106995718404 is 327102.

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

106995718404 is a `hidden beast` number, since 1 + 0 + 69 + 9 + 571 + 8 + 4 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 98113032900 + 8882685504 = 313230^2 + 94248^2 .

It is a super-2 number, since 2×1069957184042 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 1935354 + ... + 1989870.

Almost surely, 2106995718404 is an apocalyptic number.

106995718404 is the 327102-nd square number.

It is an amenable number.

106995718404 is an abundant number, since it is smaller than the sum of its proper divisors (163470642033).

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

106995718404 is an frugal number, since it uses more digits than its factorization.

106995718404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109044 (or 54522 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 106995718404 in words is "one hundred six billion, nine hundred ninety-five million, seven hundred eighteen thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 54517 109034 163551 218068 327102 490653 654204 981306 1962612 2972103289 5944206578 8916309867 11888413156 17832619734 26748929601 35665239468 53497859202 106995718404