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106706900 = 22521067069
BaseRepresentation
bin1100101110000…
…11011111010100
321102210021100102
412113003133110
5204304110100
614331033232
72433664556
oct627033724
9242707312
10106706900
1155262523
122b89b818
13191514a1
14102594d6
15957bcd5
hex65c37d4

106706900 has 18 divisors (see below), whose sum is σ = 231554190. Its totient is φ = 42682720.

The previous prime is 106706881. The next prime is 106706903. The reversal of 106706900 is 9607601.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 163216 + 106543684 = 404^2 + 10322^2 .

It is a super-2 number, since 2×1067069002 = 22772725015220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106706903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 533435 + ... + 533634.

Almost surely, 2106706900 is an apocalyptic number.

106706900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106706900 is an abundant number, since it is smaller than the sum of its proper divisors (124847290).

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

106706900 is a wasteful number, since it uses less digits than its factorization.

106706900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067083 (or 1067076 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 106706900 is about 10329.9031941253. The cubic root of 106706900 is about 474.3120604675.

The spelling of 106706900 in words is "one hundred six million, seven hundred six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1067069 2134138 4268276 5335345 10670690 21341380 26676725 53353450 106706900