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105023322 = 2325834629
BaseRepresentation
bin1100100001010…
…00011101011010
321022121201220200
412100220131122
5203341221242
614231003030
72413453305
oct620503532
9238551820
10105023322
1154312638
122b209476
13189b20a1
14dd3bb3c
15934804c
hex642875a

105023322 has 12 divisors (see below), whose sum is σ = 227550570. Its totient is φ = 35007768.

The previous prime is 105023291. The next prime is 105023323. The reversal of 105023322 is 223320501.

It can be written as a sum of positive squares in only one way, i.e., 63536841 + 41486481 = 7971^2 + 6441^2 .

It is a super-2 number, since 2×1050233222 = 22059796327831368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5834629 = 105023322 / (1 + 0 + 5 + 0 + 2 + 3 + 3 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 105023295 and 105023304.

It is not an unprimeable number, because it can be changed into a prime (105023323) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2917297 + ... + 2917332.

Almost surely, 2105023322 is an apocalyptic number.

105023322 is an abundant number, since it is smaller than the sum of its proper divisors (122527248).

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

105023322 is a wasteful number, since it uses less digits than its factorization.

105023322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5834637 (or 5834634 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 105023322 is about 10248.0886998503. The cubic root of 105023322 is about 471.8043243535.

Adding to 105023322 its reverse (223320501), we get a palindrome (328343823).

It can be divided in two parts, 10502 and 3322, that added together give a cube (13824 = 243).

The spelling of 105023322 in words is "one hundred five million, twenty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 5834629 11669258 17503887 35007774 52511661 105023322