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106974700 = 22527152821
BaseRepresentation
bin1100110000001…
…00110111101100
321110021212200221
412120010313230
5204341142300
614340501124
72436161410
oct630046754
9243255627
10106974700
1155425748
122b9aa7a4
1319216351
14102c8d40
1595d131a
hex6604dec

106974700 has 36 divisors (see below), whose sum is σ = 265298992. Its totient is φ = 36676800.

The previous prime is 106974683. The next prime is 106974701. The reversal of 106974700 is 7479601.

It is a super-2 number, since 2×1069747002 = 22887172880180000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106974701) by changing a digit.

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, 75711 + ... + 77110.

Almost surely, 2106974700 is an apocalyptic number.

106974700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106974700 is an abundant number, since it is smaller than the sum of its proper divisors (158324292).

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

106974700 is a wasteful number, since it uses less digits than its factorization.

106974700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152842 (or 152835 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 106974700 is about 10342.8574388319. The cubic root of 106974700 is about 474.7085192322.

The spelling of 106974700 in words is "one hundred six million, nine hundred seventy-four thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 152821 305642 611284 764105 1069747 1528210 2139494 3056420 3820525 4278988 5348735 7641050 10697470 15282100 21394940 26743675 53487350 106974700