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106879700 = 22529191163
BaseRepresentation
bin1100101111011…
…01101011010100
321110010001101102
412113231223110
5204330122300
614334445232
72435314424
oct627555324
9243101342
10106879700
1155370334
122b963818
13191b2035
14102a2484
1595b30d5
hex65edad4

106879700 has 36 divisors (see below), whose sum is σ = 232380960. Its totient is φ = 42668640.

The previous prime is 106879687. The next prime is 106879709. The reversal of 106879700 is 7978601.

It is a happy number.

106879700 is nontrivially palindromic in base 9.

It is a super-2 number, since 2×1068797002 = 22846540544180000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106879709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91319 + ... + 92481.

Almost surely, 2106879700 is an apocalyptic number.

106879700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106879700 is an abundant number, since it is smaller than the sum of its proper divisors (125501260).

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

106879700 is a wasteful number, since it uses less digits than its factorization.

106879700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 38.

The square root of 106879700 is about 10338.2638774603. The cubic root of 106879700 is about 474.5679543272.

The spelling of 106879700 in words is "one hundred six million, eight hundred seventy-nine thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 919 1163 1838 2326 3676 4595 4652 5815 9190 11630 18380 22975 23260 29075 45950 58150 91900 116300 1068797 2137594 4275188 5343985 10687970 21375940 26719925 53439850 106879700