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106231410 = 23254128789
BaseRepresentation
bin1100101010011…
…11011001110010
321101220010002200
412111033121302
5204143401120
614312524030
72426644365
oct625173162
9241803080
10106231410
1154a6825a
122b6b0616
1319015c2c
14101740dc
1594d5e90
hex654f672

106231410 has 48 divisors (see below), whose sum is σ = 282948120. Its totient is φ = 27636480.

The previous prime is 106231409. The next prime is 106231417. The reversal of 106231410 is 14132601.

It is a happy number.

106231410 is a `hidden beast` number, since 1 + 0 + 623 + 1 + 41 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 79014321 + 27217089 = 8889^2 + 5217^2 .

It is a super-2 number, since 2×1062314102 = 22570224941176200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (106231417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10705 + ... + 18084.

Almost surely, 2106231410 is an apocalyptic number.

106231410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106231410 is an abundant number, since it is smaller than the sum of its proper divisors (176716710).

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

106231410 is a wasteful number, since it uses less digits than its factorization.

106231410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28843 (or 28840 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106231410 is about 10306.8622771433. The cubic root of 106231410 is about 473.6064938970.

The spelling of 106231410 in words is "one hundred six million, two hundred thirty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 28789 57578 86367 143945 172734 259101 287890 431835 518202 863670 1180349 1295505 2360698 2591010 3541047 5901745 7082094 10623141 11803490 17705235 21246282 35410470 53115705 106231410