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10105240170 = 235479117867
BaseRepresentation
bin10010110100101000…
…11011101001101010
3222002020210101111110
421122110123221222
5131143420141140
64350422211150
7505263060414
oct113224335152
928066711443
1010105240170
114316165563
121b60283ab6
13c5074716c
146bc1199b4
153e224a380
hex25a51ba6a

10105240170 has 64 divisors (see below), whose sum is σ = 24798928896. Its totient is φ = 2634166080.

The previous prime is 10105240157. The next prime is 10105240213. The reversal of 10105240170 is 7104250101.

It is a happy number.

10105240170 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1280577 + ... + 1288443.

It is an arithmetic number, because the mean of its divisors is an integer number (387483264).

Almost surely, 210105240170 is an apocalyptic number.

10105240170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10105240170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12399464448).

10105240170 is an abundant number, since it is smaller than the sum of its proper divisors (14693688726).

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

10105240170 is a wasteful number, since it uses less digits than its factorization.

10105240170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8835.

The product of its (nonzero) digits is 280, while the sum is 21.

Adding to 10105240170 its reverse (7104250101), we get a palindrome (17209490271).

The spelling of 10105240170 in words is "ten billion, one hundred five million, two hundred forty thousand, one hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 705 911 1410 1822 2733 4555 5466 7867 9110 13665 15734 23601 27330 39335 42817 47202 78670 85634 118005 128451 214085 236010 256902 369749 428170 642255 739498 1109247 1284510 1848745 2218494 3697490 5546235 7166837 11092470 14333674 21500511 35834185 43001022 71668370 107502555 215005110 336841339 673682678 1010524017 1684206695 2021048034 3368413390 5052620085 10105240170