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106105404 = 223137233277
BaseRepresentation
bin1100101001100…
…00101000111100
321101122201020210
412110300220330
5204130333104
614310112420
72425611126
oct624605074
9241581223
10106105404
1154991619
122b64b710
1318ca0782
1410140216
1594ad989
hex6530a3c

106105404 has 48 divisors (see below), whose sum is σ = 251360928. Its totient is φ = 34833408.

The previous prime is 106105399. The next prime is 106105411. The reversal of 106105404 is 404501601.

It is a super-2 number, since 2×1061054042 = 22516713516006432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382914 + ... + 383190.

It is an arithmetic number, because the mean of its divisors is an integer number (5236686).

Almost surely, 2106105404 is an apocalyptic number.

It is an amenable number.

106105404 is an abundant number, since it is smaller than the sum of its proper divisors (145255524).

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

106105404 is a wasteful number, since it uses less digits than its factorization.

106105404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 106105404 is about 10300.7477398488. The cubic root of 106105404 is about 473.4191642715.

The spelling of 106105404 in words is "one hundred six million, one hundred five thousand, four hundred four".

Divisors: 1 2 3 4 6 12 137 233 274 277 411 466 548 554 699 822 831 932 1108 1398 1644 1662 2796 3324 31921 37949 63842 64541 75898 95763 113847 127684 129082 151796 191526 193623 227694 258164 383052 387246 455388 774492 8842117 17684234 26526351 35368468 53052702 106105404