Search a number
-
+
105357076215 = 35142914893301
BaseRepresentation
bin110001000011111000…
…1010110011011110111
3101001221111221000021220
41202013301112123313
53211232402414330
6120222251441423
710416563241336
oct1420761263367
9331844830256
10105357076215
1140755360816
1218503a56273
139c20631321
145156711d1d
152b196c6710
hex1887c566f7

105357076215 has 32 divisors (see below), whose sum is σ = 168853713600. Its totient is φ = 56096409600.

The previous prime is 105357076211. The next prime is 105357076217. The reversal of 105357076215 is 512670753501.

It is not a de Polignac number, because 105357076215 - 22 = 105357076211 is a prime.

It is a super-2 number, since 2×1053570762152 (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 (105357076211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31915065 + ... + 31918365.

It is an arithmetic number, because the mean of its divisors is an integer number (5276678550).

Almost surely, 2105357076215 is an apocalyptic number.

105357076215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105357076215 is a deficient number, since it is larger than the sum of its proper divisors (63496637385).

105357076215 is a wasteful number, since it uses less digits than its factorization.

105357076215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6227.

The product of its (nonzero) digits is 220500, while the sum is 42.

The spelling of 105357076215 in words is "one hundred five billion, three hundred fifty-seven million, seventy-six thousand, two hundred fifteen".

Divisors: 1 3 5 15 1429 1489 3301 4287 4467 7145 7445 9903 16505 21435 22335 49515 2127781 4717129 4915189 6383343 10638905 14151387 14745567 23585645 24575945 31916715 70756935 73727835 7023805081 21071415243 35119025405 105357076215