Search a number
-
+
106102422510 = 2357505249631
BaseRepresentation
bin110001011010000110…
…0100111101111101110
3101010212110102112012020
41202310030213233232
53214244210010020
6120424235051010
710444213465530
oct1426414475756
9333773375166
10106102422510
1140aa8062497
12186915a0a66
13a00bb89836
1451c76d1850
152b5ed54c40
hex18b4327bee

106102422510 has 32 divisors (see below), whose sum is σ = 291023788032. Its totient is φ = 24251982240.

The previous prime is 106102422493. The next prime is 106102422511. The reversal of 106102422510 is 15224201601.

It is a super-2 number, since 2×1061024225102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106102422511) 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, 252624606 + ... + 252625025.

It is an arithmetic number, because the mean of its divisors is an integer number (9094493376).

Almost surely, 2106102422510 is an apocalyptic number.

106102422510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106102422510 is an abundant number, since it is smaller than the sum of its proper divisors (184921365522).

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

106102422510 is a wasteful number, since it uses less digits than its factorization.

106102422510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505249648.

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 106102422510 in words is "one hundred six billion, one hundred two million, four hundred twenty-two thousand, five hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 505249631 1010499262 1515748893 2526248155 3031497786 3536747417 5052496310 7073494834 7578744465 10610242251 15157488930 17683737085 21220484502 35367474170 53051211255 106102422510