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106106574 = 2376433929
BaseRepresentation
bin1100101001100…
…00111011001110
321101122202212010
412110300323032
5204130402244
614310122050
72425614420
oct624607316
9241582763
10106106574
1154992492
122b650326
1318ca1172
1410140810
1594adeb9
hex6530ece

106106574 has 32 divisors (see below), whose sum is σ = 242968320. Its totient is φ = 30261312.

The previous prime is 106106543. The next prime is 106106591. The reversal of 106106574 is 475601601.

It is a super-2 number, since 2×1061065742 = 22517210092034952, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25042 + ... + 28970.

It is an arithmetic number, because the mean of its divisors is an integer number (7592760).

Almost surely, 2106106574 is an apocalyptic number.

106106574 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106106574 is an abundant number, since it is smaller than the sum of its proper divisors (136861746).

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

106106574 is a wasteful number, since it uses less digits than its factorization.

106106574 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4584.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 106106574 is about 10300.8045316859. The cubic root of 106106574 is about 473.4209043601.

The spelling of 106106574 in words is "one hundred six million, one hundred six thousand, five hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 643 1286 1929 3858 3929 4501 7858 9002 11787 13503 23574 27006 27503 55006 82509 165018 2526347 5052694 7579041 15158082 17684429 35368858 53053287 106106574