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106461234 = 23211717573
BaseRepresentation
bin1100101100001…
…11100000110010
321102022210100200
412112013200302
5204223224414
614321500030
72431622415
oct626074062
9242283320
10106461234
11551049a0
122b7a1616
1319096719
14101d3b7c
15952e109
hex6587832

106461234 has 48 divisors (see below), whose sum is σ = 255213504. Its totient is φ = 31802400.

The previous prime is 106461203. The next prime is 106461241. The reversal of 106461234 is 432164601.

106461234 is a `hidden beast` number, since 1 + 0 + 646 + 12 + 3 + 4 = 666.

It is a super-2 number, since 2×1064612342 = 22667988689605512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106461198 and 106461207.

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, 10272 + ... + 17844.

It is an arithmetic number, because the mean of its divisors is an integer number (5316948).

Almost surely, 2106461234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106461234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127606752).

106461234 is an abundant number, since it is smaller than the sum of its proper divisors (148752270).

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

106461234 is a wasteful number, since it uses less digits than its factorization.

106461234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7663 (or 7660 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 106461234 is about 10318.0053304890. The cubic root of 106461234 is about 473.9477857349.

The spelling of 106461234 in words is "one hundred six million, four hundred sixty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 71 99 142 198 213 426 639 781 1278 1562 2343 4686 7029 7573 14058 15146 22719 45438 68157 83303 136314 166606 249909 499818 537683 749727 1075366 1499454 1613049 3226098 4839147 5914513 9678294 11829026 17743539 35487078 53230617 106461234