Search a number
-
+
105005516550 = 23521163639707
BaseRepresentation
bin110000111001011010…
…0010000011100000110
3101001001000101221002120
41201302310100130012
53210022403012200
6120123332350410
710405064110134
oct1416264203406
9331030357076
10105005516550
1140594970840
1218426175406
139b9585025c
145121b5a754
152ae88d09a0
hex1872d10706

105005516550 has 48 divisors (see below), whose sum is σ = 284087656512. Its totient is φ = 25455882400.

The previous prime is 105005516501. The next prime is 105005516573. The reversal of 105005516550 is 55615500501.

It is a super-2 number, since 2×1050055165502 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31818204 + ... + 31821503.

It is an arithmetic number, because the mean of its divisors is an integer number (5918492844).

Almost surely, 2105005516550 is an apocalyptic number.

105005516550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105005516550 is an abundant number, since it is smaller than the sum of its proper divisors (179082139962).

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

105005516550 is a wasteful number, since it uses less digits than its factorization.

105005516550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63639733 (or 63639728 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 33.

The spelling of 105005516550 in words is "one hundred five billion, five million, five hundred sixteen thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1650 63639707 127279414 190919121 318198535 381838242 636397070 700036777 954595605 1400073554 1590992675 1909191210 2100110331 3181985350 3500183885 4200220662 4772978025 7000367770 9545956050 10500551655 17500919425 21001103310 35001838850 52502758275 105005516550