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106033080 = 23351751977
BaseRepresentation
bin1100101000111…
…10111110111000
321101112001001010
412110132332320
5204121024310
614304353520
72425160226
oct624367670
9241461033
10106033080
115494224a
122b6158a0
1318c7688a
1410121b16
159497320
hex651efb8

106033080 has 64 divisors (see below), whose sum is σ = 336817440. Its totient is φ = 26611712.

The previous prime is 106033079. The next prime is 106033099. The reversal of 106033080 is 80330601.

It is a super-2 number, since 2×1060330802 = 22486028108572800, 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, 23949 + ... + 28028.

Almost surely, 2106033080 is an apocalyptic number.

106033080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106033080 is an abundant number, since it is smaller than the sum of its proper divisors (230784360).

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

106033080 is a wasteful number, since it uses less digits than its factorization.

106033080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52008 (or 52004 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 106033080 is about 10297.2365224850. The cubic root of 106033080 is about 473.3115751862.

Adding to 106033080 its reverse (80330601), we get a palindrome (186363681).

The spelling of 106033080 in words is "one hundred six million, thirty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 51977 103954 155931 207908 259885 311862 415816 519770 623724 779655 883609 1039540 1247448 1559310 1767218 2079080 2650827 3118620 3534436 4418045 5301654 6237240 7068872 8836090 10603308 13254135 17672180 21206616 26508270 35344360 53016540 106033080