Search a number
-
+
105630644 = 22729130087
BaseRepresentation
bin1100100101111…
…00101110110100
321100202121000002
412102330232310
5204020140034
614252010432
72421563030
oct622745664
9240677002
10105630644
1154697959
122b460a18
1318b65652
14100591c0
159417e7e
hex64bcbb4

105630644 has 24 divisors (see below), whose sum is σ = 218547840. Its totient is φ = 43708896.

The previous prime is 105630631. The next prime is 105630647. The reversal of 105630644 is 446036501.

It is a happy number.

It is a super-2 number, since 2×1056306442 = 22315665903709472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105630647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64232 + ... + 65855.

It is an arithmetic number, because the mean of its divisors is an integer number (9106160).

Almost surely, 2105630644 is an apocalyptic number.

105630644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105630644 is an abundant number, since it is smaller than the sum of its proper divisors (112917196).

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

105630644 is a wasteful number, since it uses less digits than its factorization.

105630644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130127 (or 130125 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 105630644 is about 10277.6769748810. The cubic root of 105630644 is about 472.7120166809.

It can be divided in two parts, 1056306 and 44, that multiplied together give a palindrome (46477464).

The spelling of 105630644 in words is "one hundred five million, six hundred thirty thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 130087 260174 520348 910609 1821218 3642436 3772523 7545046 15090092 26407661 52815322 105630644