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105532420501 = 2411669262369
BaseRepresentation
bin110001001001000111…
…0001111000110010101
3101002101201212102102201
41202102032033012111
53212112244424001
6120251514004501
710424122526224
oct1422216170625
9332351772381
10105532420501
1140835333552
1218552716731
139c4aa65041
145171b16cbb
152b29cb0501
hex189238f195

105532420501 has 8 divisors (see below), whose sum is σ = 106034211800. Its totient is φ = 105031157760.

The previous prime is 105532420489. The next prime is 105532420517. The reversal of 105532420501 is 105024235501.

It can be written as a sum of positive squares in 4 ways, for example, as 65262366225 + 40270054276 = 255465^2 + 200674^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105532420501 is a prime.

It is a super-2 number, since 2×1055324205012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105532420501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105532426501) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 271045 + ... + 533413.

It is an arithmetic number, because the mean of its divisors is an integer number (13254276475).

Almost surely, 2105532420501 is an apocalyptic number.

It is an amenable number.

105532420501 is a deficient number, since it is larger than the sum of its proper divisors (501791299).

105532420501 is a wasteful number, since it uses less digits than its factorization.

105532420501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264279.

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 105532420501 in words is "one hundred five billion, five hundred thirty-two million, four hundred twenty thousand, five hundred one".

Divisors: 1 241 1669 262369 402229 63230929 437893861 105532420501