Search a number
BaseRepresentation
bin110000111011010001…
…1010001111110001000
3101001012101022022122210
41201312203101332020
53210134423101430
6120133451345120
710406454516420
oct1416643217610
9331171268583
10105068175240
1140617278186
12184431521a0
139ba581b3c2
14512a1cb480
152aee15b2b0
hex18768d1f88

105068175240 has 256 divisors, whose sum is σ = 384856934400. Its totient is φ = 22411800576.

The previous prime is 105068175239. The next prime is 105068175319. The reversal of 105068175240 is 42571860501.

105068175240 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 2×1050681752402 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1020192 + ... + 1118448.

It is an arithmetic number, because the mean of its divisors is an integer number (1503347400).

Almost surely, 2105068175240 is an apocalyptic number.

105068175240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105068175240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192428467200).

105068175240 is an abundant number, since it is smaller than the sum of its proper divisors (279788759160).

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

105068175240 is a wasteful number, since it uses less digits than its factorization.

105068175240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98364 (or 98360 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The spelling of 105068175240 in words is "one hundred five billion, sixty-eight million, one hundred seventy-five thousand, two hundred forty".