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105068192 = 253283381
BaseRepresentation
bin1100100001100…
…11011010100000
321022201000110112
412100303122200
5203344140232
614231550452
72414031155
oct620633240
9238630415
10105068192
1154343319
122b22b428
13189c9638
14dd5022c
1593564b2
hex64336a0

105068192 has 12 divisors (see below), whose sum is σ = 206853066. Its totient is φ = 52534080.

The previous prime is 105068141. The next prime is 105068213. The reversal of 105068192 is 291860501.

It can be written as a sum of positive squares in only one way, i.e., 102495376 + 2572816 = 10124^2 + 1604^2 .

It is a super-2 number, since 2×1050681922 = 22078649940297728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 3283381 = 105068192 / (1 + 0 + 5 + 0 + 6 + 8 + 1 + 9 + 2).

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 as a sum of consecutive naturals, namely, 1641659 + ... + 1641722.

Almost surely, 2105068192 is an apocalyptic number.

It is an amenable number.

105068192 is a deficient number, since it is larger than the sum of its proper divisors (101784874).

105068192 is an equidigital number, since it uses as much as digits as its factorization.

105068192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3283391 (or 3283383 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

The square root of 105068192 is about 10250.2776547760. The cubic root of 105068192 is about 471.8715057677.

The spelling of 105068192 in words is "one hundred five million, sixty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 3283381 6566762 13133524 26267048 52534096 105068192