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106197804 = 223679461
BaseRepresentation
bin1100101010001…
…11001100101100
321101211102000000
412111013030230
5204141312204
614312104300
72426444406
oct625071454
9241742000
10106197804
1154a44a89
122b695090
131900384b
1410165b76
1594cb039
hex654732c

106197804 has 84 divisors (see below), whose sum is σ = 282780960. Its totient is φ = 34875360.

The previous prime is 106197761. The next prime is 106197809. The reversal of 106197804 is 408791601.

It is a super-2 number, since 2×1061978042 = 22555947148844832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106197809) 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 27 ways as a sum of consecutive naturals, for example, 230134 + ... + 230594.

It is an arithmetic number, because the mean of its divisors is an integer number (3366440).

Almost surely, 2106197804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106197804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141390480).

106197804 is an abundant number, since it is smaller than the sum of its proper divisors (176583156).

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

106197804 is an equidigital number, since it uses as much as digits as its factorization.

106197804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 106197804 is about 10305.2318751205. The cubic root of 106197804 is about 473.5565472806.

The spelling of 106197804 in words is "one hundred six million, one hundred ninety-seven thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 108 158 162 237 243 316 324 461 474 486 711 729 922 948 972 1383 1422 1458 1844 2133 2766 2844 2916 4149 4266 5532 6399 8298 8532 12447 12798 16596 19197 24894 25596 36419 37341 38394 49788 57591 72838 74682 76788 109257 112023 115182 145676 149364 218514 224046 230364 327771 336069 437028 448092 655542 672138 983313 1311084 1344276 1966626 2949939 3933252 5899878 8849817 11799756 17699634 26549451 35399268 53098902 106197804