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106705932 = 22379112559
BaseRepresentation
bin1100101110000…
…11010000001100
321102210020000120
412113003100030
5204304042212
614331024540
72433662004
oct627032014
9242706016
10106705932
1155261823
122b89b150
1319150c08
1410259004
15957b88c
hex65c340c

106705932 has 24 divisors (see below), whose sum is σ = 252134400. Its totient is φ = 35118096.

The previous prime is 106705913. The next prime is 106705967. The reversal of 106705932 is 239507601.

It is a super-2 number, since 2×1067059322 = 22772311847977248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106705893 and 106705902.

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 in 7 ways as a sum of consecutive naturals, for example, 55332 + ... + 57227.

It is an arithmetic number, because the mean of its divisors is an integer number (10505600).

Almost surely, 2106705932 is an apocalyptic number.

106705932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106705932 is an abundant number, since it is smaller than the sum of its proper divisors (145428468).

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

106705932 is a wasteful number, since it uses less digits than its factorization.

106705932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112645 (or 112643 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 106705932 is about 10329.8563397561. The cubic root of 106705932 is about 474.3106262102.

The spelling of 106705932 in words is "one hundred six million, seven hundred five thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 12 79 158 237 316 474 948 112559 225118 337677 450236 675354 1350708 8892161 17784322 26676483 35568644 53352966 106705932