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106148052 = 22326148337
BaseRepresentation
bin1100101001110…
…11000011010100
321101201212202100
412110323003110
5204133214202
614311042100
72426146353
oct624730324
9241655670
10106148052
1154a1066a
122b670330
1318cb6cca
141015199a
1594bb41c
hex653b0d4

106148052 has 36 divisors (see below), whose sum is σ = 272722996. Its totient is φ = 34801920.

The previous prime is 106148027. The next prime is 106148083. The reversal of 106148052 is 250841601.

It can be written as a sum of positive squares in 2 ways, for example, as 42850116 + 63297936 = 6546^2 + 7956^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1061480522 = 22534817886789408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 21973 + ... + 26364.

Almost surely, 2106148052 is an apocalyptic number.

106148052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106148052 is an abundant number, since it is smaller than the sum of its proper divisors (166574944).

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

106148052 is a wasteful number, since it uses less digits than its factorization.

106148052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48408 (or 48403 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 106148052 is about 10302.8176728505. The cubic root of 106148052 is about 473.4825844658.

Adding to 106148052 its reverse (250841601), we get a palindrome (356989653).

The spelling of 106148052 in words is "one hundred six million, one hundred forty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 48337 96674 145011 193348 290022 435033 580044 870066 1740132 2948557 5897114 8845671 11794228 17691342 26537013 35382684 53074026 106148052