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106175076 = 22374130829
BaseRepresentation
bin1100101010000…
…01101001100100
321101210020211020
412111001221210
5204140100301
614311411140
72426321220
oct625015144
9241706736
10106175076
1154a299a7
122b683ab0
1318cc63b7
141015b780
1594c4436
hex6541a64

106175076 has 48 divisors (see below), whose sum is σ = 290048640. Its totient is φ = 29594880.

The previous prime is 106175063. The next prime is 106175077. The reversal of 106175076 is 670571601.

It is a super-2 number, since 2×1061750762 = 22546293527211552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106175077) 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 15 ways as a sum of consecutive naturals, for example, 11971 + ... + 18858.

It is an arithmetic number, because the mean of its divisors is an integer number (6042680).

Almost surely, 2106175076 is an apocalyptic number.

It is an amenable number.

106175076 is an abundant number, since it is smaller than the sum of its proper divisors (183873564).

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

106175076 is a wasteful number, since it uses less digits than its factorization.

106175076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30884 (or 30882 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 106175076 is about 10304.1290752785. The cubic root of 106175076 is about 473.5227620211.

The spelling of 106175076 in words is "one hundred six million, one hundred seventy-five thousand, seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1722 3444 30829 61658 92487 123316 184974 215803 369948 431606 647409 863212 1263989 1294818 2527978 2589636 3791967 5055956 7583934 8847923 15167868 17695846 26543769 35391692 53087538 106175076