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105022048 = 2523314603
BaseRepresentation
bin1100100001010…
…00001001100000
321022121200011111
412100220021200
5203341201143
614230553104
72413446505
oct620501140
9238550144
10105022048
115431168a
122b208794
13189b1631
14dd3b4ac
15934799d
hex6428260

105022048 has 48 divisors (see below), whose sum is σ = 222759936. Its totient is φ = 48597120.

The previous prime is 105022009. The next prime is 105022069. The reversal of 105022048 is 840220501.

It is a super-2 number, since 2×1050220482 = 22059261132228608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20515 + ... + 25117.

It is an arithmetic number, because the mean of its divisors is an integer number (4640832).

Almost surely, 2105022048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105022048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111379968).

105022048 is an abundant number, since it is smaller than the sum of its proper divisors (117737888).

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

105022048 is a wasteful number, since it uses less digits than its factorization.

105022048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4667 (or 4659 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 105022048 is about 10248.0265417299. The cubic root of 105022048 is about 471.8024165832.

Adding to 105022048 its reverse (840220501), we get a palindrome (945242549).

The spelling of 105022048 in words is "one hundred five million, twenty-two thousand, forty-eight".

Divisors: 1 2 4 8 16 23 31 32 46 62 92 124 184 248 368 496 713 736 992 1426 2852 4603 5704 9206 11408 18412 22816 36824 73648 105869 142693 147296 211738 285386 423476 570772 846952 1141544 1693904 2283088 3281939 3387808 4566176 6563878 13127756 26255512 52511024 105022048