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106052835 = 3574383283
BaseRepresentation
bin1100101001000…
…11110011100011
321101120001010210
412110203303203
5204122142320
614305025203
72425301640
oct624436343
9241501123
10106052835
1154956079
122b625203
1318c82875
1410128dc7
15949d0e0
hex6523ce3

106052835 has 64 divisors (see below), whose sum is σ = 201535488. Its totient is φ = 46617984.

The previous prime is 106052833. The next prime is 106052857. The reversal of 106052835 is 538250601.

106052835 = T236 + T237 + ... + T865.

It is not a de Polignac number, because 106052835 - 21 = 106052833 is a prime.

It is a super-2 number, since 2×1060528352 = 22494407623074450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106052833) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 374604 + ... + 374886.

It is an arithmetic number, because the mean of its divisors is an integer number (3148992).

Almost surely, 2106052835 is an apocalyptic number.

106052835 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106052835 is a deficient number, since it is larger than the sum of its proper divisors (95482653).

106052835 is a wasteful number, since it uses less digits than its factorization.

106052835 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424.

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 106052835 is about 10298.1957157553. The cubic root of 106052835 is about 473.3409675530.

The spelling of 106052835 in words is "one hundred six million, fifty-two thousand, eight hundred thirty-five".

Divisors: 1 3 5 7 15 21 35 43 83 105 129 215 249 283 301 415 581 645 849 903 1245 1415 1505 1743 1981 2905 3569 4245 4515 5943 8715 9905 10707 12169 17845 23489 24983 29715 36507 53535 60845 70467 74949 85183 117445 124915 164423 182535 255549 352335 374745 425915 493269 822115 1010027 1277745 2466345 3030081 5050135 7070189 15150405 21210567 35350945 106052835