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105218418 = 23142712289
BaseRepresentation
bin1100100010110…
…00000101110010
321022222122112110
412101120011302
5203413442133
614235110150
72415225144
oct621300562
9238878473
10105218418
1154436178
122b2a2356
1318a4cb26
14dd8cc94
159385c63
hex6458172

105218418 has 16 divisors (see below), whose sum is σ = 210601440. Its totient is φ = 35045376.

The previous prime is 105218411. The next prime is 105218437. The reversal of 105218418 is 814812501.

It is a happy number.

It is a super-2 number, since 2×1052184182 = 22141830972845448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105218411) by changing a digit.

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, 2418 + ... + 14706.

It is an arithmetic number, because the mean of its divisors is an integer number (13162590).

Almost surely, 2105218418 is an apocalyptic number.

105218418 is an abundant number, since it is smaller than the sum of its proper divisors (105383022).

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

105218418 is a wasteful number, since it uses less digits than its factorization.

105218418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13721.

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 105218418 is about 10257.6029363590. The cubic root of 105218418 is about 472.0962918788.

The spelling of 105218418 in words is "one hundred five million, two hundred eighteen thousand, four hundred eighteen".

Divisors: 1 2 3 6 1427 2854 4281 8562 12289 24578 36867 73734 17536403 35072806 52609209 105218418