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106348892 = 22138272473
BaseRepresentation
bin1100101011011…
…00000101011100
321102010002020212
412111230011130
5204211131032
614315231552
72430644036
oct625540534
9242102225
10106348892
1155038551
122b7485b8
1319057550
14101a4c56
15950abb2
hex656c15c

106348892 has 24 divisors (see below), whose sum is σ = 200750256. Its totient is φ = 49004928.

The previous prime is 106348877. The next prime is 106348897. The reversal of 106348892 is 298843601.

It is a super-2 number, since 2×1063488922 = 22620173659255328, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106348897) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 41768 + ... + 44240.

It is an arithmetic number, because the mean of its divisors is an integer number (8364594).

Almost surely, 2106348892 is an apocalyptic number.

It is an amenable number.

106348892 is a deficient number, since it is larger than the sum of its proper divisors (94401364).

106348892 is a wasteful number, since it uses less digits than its factorization.

106348892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3317 (or 3315 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 106348892 is about 10312.5599149775. The cubic root of 106348892 is about 473.7810177337.

The spelling of 106348892 in words is "one hundred six million, three hundred forty-eight thousand, eight hundred ninety-two".

Divisors: 1 2 4 13 26 52 827 1654 2473 3308 4946 9892 10751 21502 32149 43004 64298 128596 2045171 4090342 8180684 26587223 53174446 106348892