Search a number
-
+
106106000010 = 2353795590991
BaseRepresentation
bin110001011010001101…
…0010001001010001010
3101010212201011021121020
41202310122101022022
53214301114000020
6120424443453310
710444256055543
oct1426432211212
9333781137536
10106106000010
1140aaa0862aa
1218692827236
13a00c83ccba
1451c7d834ca
152b6030ec40
hex18b469128a

106106000010 has 32 divisors (see below), whose sum is σ = 261536954112. Its totient is φ = 27530205120.

The previous prime is 106106000009. The next prime is 106106000017. The reversal of 106106000010 is 10000601601.

It is a super-2 number, since 2×1061060000102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (106106000017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47794386 + ... + 47796605.

It is an arithmetic number, because the mean of its divisors is an integer number (8173029816).

Almost surely, 2106106000010 is an apocalyptic number.

106106000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106106000010 is an abundant number, since it is smaller than the sum of its proper divisors (155430954102).

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

106106000010 is a wasteful number, since it uses less digits than its factorization.

106106000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95591038.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 106106000010 its reverse (10000601601), we get a palindrome (116106601611).

The spelling of 106106000010 in words is "one hundred six billion, one hundred six million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 95590991 191181982 286772973 477954955 573545946 955909910 1433864865 2867729730 3536866667 7073733334 10610600001 17684333335 21221200002 35368666670 53053000005 106106000010