Search a number
-
+
106025608110 = 2353534186937
BaseRepresentation
bin110001010111110011…
…1100110001110101110
3101010200002212221122110
41202233213212032232
53214120023424420
6120412452424450
710442261541042
oct1425747461656
9333602787573
10106025608110
1140a68767714
121866b918126
139cc8ca3426
1451bb418022
152b5822eee0
hex18af9e63ae

106025608110 has 16 divisors (see below), whose sum is σ = 254461459536. Its totient is φ = 28273495488.

The previous prime is 106025608061. The next prime is 106025608111. The reversal of 106025608110 is 11806520601.

106025608110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1060256081102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 3534186937 = 106025608110 / (1 + 0 + 6 + 0 + 2 + 5 + 6 + 0 + 8 + 1 + 1 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106025608111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1767093439 + ... + 1767093498.

It is an arithmetic number, because the mean of its divisors is an integer number (15903841221).

Almost surely, 2106025608110 is an apocalyptic number.

106025608110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106025608110 is an abundant number, since it is smaller than the sum of its proper divisors (148435851426).

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

106025608110 is a wasteful number, since it uses less digits than its factorization.

106025608110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3534186947.

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 106025608110 in words is "one hundred six billion, twenty-five million, six hundred eight thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 3534186937 7068373874 10602560811 17670934685 21205121622 35341869370 53012804055 106025608110