Search a number
-
+
105422634 = 235216919
BaseRepresentation
bin1100100100010…
…01111100101010
321100101000200000
412102021330222
5203442011014
614243323430
72420035422
oct622117452
9240330600
10105422634
1154565649
122b380576
1318ac1a75
1410003482
1593c6509
hex6489f2a

105422634 has 24 divisors (see below), whose sum is σ = 236876640. Its totient is φ = 35140716.

The previous prime is 105422623. The next prime is 105422651. The reversal of 105422634 is 436224501.

105422634 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 22 + 634 = 666.

It is a super-2 number, since 2×1054226342 = 22227863518995912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 105422598 and 105422607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107974 + ... + 108945.

It is an arithmetic number, because the mean of its divisors is an integer number (9869860).

Almost surely, 2105422634 is an apocalyptic number.

105422634 is an abundant number, since it is smaller than the sum of its proper divisors (131454006).

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

105422634 is an equidigital number, since it uses as much as digits as its factorization.

105422634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216936 (or 216924 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 105422634 is about 10267.5524834305. The cubic root of 105422634 is about 472.4015214266.

The spelling of 105422634 in words is "one hundred five million, four hundred twenty-two thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 216919 433838 650757 1301514 1952271 3904542 5856813 11713626 17570439 35140878 52711317 105422634