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105142948 = 22314718041
BaseRepresentation
bin1100100010001…
…01101010100100
321022211211000021
412101011222210
5203404033243
614233324524
72414462131
oct621055244
9238754007
10105142948
11543944a9
122b266744
1318a24681
14dd6d588
15936d6ed
hex6445aa4

105142948 has 24 divisors (see below), whose sum is σ = 193987584. Its totient is φ = 49790400.

The previous prime is 105142907. The next prime is 105142957. The reversal of 105142948 is 849241501.

It is a happy number.

It is a super-2 number, since 2×1051429482 = 22110079028261408, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3193 + ... + 14848.

It is an arithmetic number, because the mean of its divisors is an integer number (8082816).

Almost surely, 2105142948 is an apocalyptic number.

It is an amenable number.

105142948 is a deficient number, since it is larger than the sum of its proper divisors (88844636).

105142948 is a wasteful number, since it uses less digits than its factorization.

105142948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18123 (or 18121 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 105142948 is about 10253.9235417473. The cubic root of 105142948 is about 471.9833914007.

The spelling of 105142948 in words is "one hundred five million, one hundred forty-two thousand, nine hundred forty-eight".

Divisors: 1 2 4 31 47 62 94 124 188 1457 2914 5828 18041 36082 72164 559271 847927 1118542 1695854 2237084 3391708 26285737 52571474 105142948