Search a number
-
+
106261846108 = 221131314275407
BaseRepresentation
bin110001011110110110…
…0110001100001011100
3101011021120102002020221
41202331230301201130
53220111013033413
6120452132051124
710451160534415
oct1427554614134
9334246362227
10106261846108
114107a050830
1218716a63aa4
13a035c07b22
14520095080c
152b6dd4668d
hex18bdb3185c

106261846108 has 48 divisors (see below), whose sum is σ = 203691930624. Its totient is φ = 48103885440.

The previous prime is 106261846087. The next prime is 106261846123. The reversal of 106261846108 is 801648162601.

It is a super-2 number, since 2×1062618461082 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 19649941 + ... + 19655347.

It is an arithmetic number, because the mean of its divisors is an integer number (4243581888).

Almost surely, 2106261846108 is an apocalyptic number.

It is an amenable number.

106261846108 is a deficient number, since it is larger than the sum of its proper divisors (97430084516).

106261846108 is a wasteful number, since it uses less digits than its factorization.

106261846108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7162 (or 7160 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The spelling of 106261846108 in words is "one hundred six billion, two hundred sixty-one million, eight hundred forty-six thousand, one hundred eight".

Divisors: 1 2 4 11 22 44 313 626 1252 1427 2854 3443 5407 5708 6886 10814 13772 15697 21628 31394 59477 62788 118954 237908 446651 893302 1692391 1786604 3384782 4913161 6769564 7715789 9826322 15431578 18616301 19652644 30863156 37232602 74465204 84873679 169747358 339494716 2415041957 4830083914 9660167828 26565461527 53130923054 106261846108