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106139600 = 2452737907
BaseRepresentation
bin1100101001110…
…00111111010000
321101201110011022
412110320333100
5204132431400
614310535012
72426112620
oct624707720
9241643138
10106139600
1154a05286
122b667468
1318cb31c8
141014c880
1594b8b85
hex6538fd0

106139600 has 60 divisors (see below), whose sum is σ = 291436704. Its totient is φ = 36389760.

The previous prime is 106139597. The next prime is 106139647. The reversal of 106139600 is 6931601.

It is a super-2 number, since 2×1061396002 = 22531229376320000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106139600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16154 + ... + 21753.

Almost surely, 2106139600 is an apocalyptic number.

106139600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106139600 is an abundant number, since it is smaller than the sum of its proper divisors (185297104).

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

106139600 is a wasteful number, since it uses less digits than its factorization.

106139600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37932 (or 37921 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 106139600 is about 10302.4074856317. The cubic root of 106139600 is about 473.4700171728.

The spelling of 106139600 in words is "one hundred six million, one hundred thirty-nine thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 37907 75814 151628 189535 265349 303256 379070 530698 606512 758140 947675 1061396 1326745 1516280 1895350 2122792 2653490 3032560 3790700 4245584 5306980 6633725 7581400 10613960 13267450 15162800 21227920 26534900 53069800 106139600