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106231700 = 22528312799
BaseRepresentation
bin1100101010011…
…11011110010100
321101220010111102
412111033132110
5204143403300
614312525232
72426645261
oct625173624
9241803442
10106231700
1154a684a3
122b6b0818
13190160c3
1410174268
1594d60d5
hex654f794

106231700 has 36 divisors (see below), whose sum is σ = 233318400. Its totient is φ = 41977440.

The previous prime is 106231681. The next prime is 106231709. The reversal of 106231700 is 7132601.

It is a happy number.

It is a super-2 number, since 2×1062317002 = 22570348169780000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106231709) 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, 1901 + ... + 14699.

Almost surely, 2106231700 is an apocalyptic number.

106231700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106231700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116659200).

106231700 is an abundant number, since it is smaller than the sum of its proper divisors (127086700).

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

106231700 is a wasteful number, since it uses less digits than its factorization.

106231700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12896 (or 12889 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 106231700 is about 10306.8763454308. The cubic root of 106231700 is about 473.6069248611.

Subtracting from 106231700 its reverse (7132601), we obtain a palindrome (99099099).

The spelling of 106231700 in words is "one hundred six million, two hundred thirty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 1660 2075 4150 8300 12799 25598 51196 63995 127990 255980 319975 639950 1062317 1279900 2124634 4249268 5311585 10623170 21246340 26557925 53115850 106231700