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106813850 = 252111314939
BaseRepresentation
bin1100101110111…
…01100110011010
321102222201001112
412113131212122
5204321020400
614333220322
72434621433
oct627354632
9242881045
10106813850
1155325910
122b9316a2
131918b080
141028648a
15959d835
hex65dd99a

106813850 has 48 divisors (see below), whose sum is σ = 233422560. Its totient is φ = 35851200.

The previous prime is 106813843. The next prime is 106813871. The reversal of 106813850 is 58318601.

It is a super-2 number, since 2×1068138502 = 22818397103645000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320 + ... + 14619.

It is an arithmetic number, because the mean of its divisors is an integer number (4862970).

Almost surely, 2106813850 is an apocalyptic number.

106813850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106813850 is an abundant number, since it is smaller than the sum of its proper divisors (126608710).

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

106813850 is a wasteful number, since it uses less digits than its factorization.

106813850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14975 (or 14970 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 106813850 is about 10335.0786160532. The cubic root of 106813850 is about 474.4704717684.

The spelling of 106813850 in words is "one hundred six million, eight hundred thirteen thousand, eight hundred fifty".

Divisors: 1 2 5 10 11 13 22 25 26 50 55 65 110 130 143 275 286 325 550 650 715 1430 3575 7150 14939 29878 74695 149390 164329 194207 328658 373475 388414 746950 821645 971035 1643290 1942070 2136277 4108225 4272554 4855175 8216450 9710350 10681385 21362770 53406925 106813850