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106241310 = 23257224091
BaseRepresentation
bin1100101010100…
…01110100011110
321101220121200100
412111101310132
5204144210220
614313041530
72430015300
oct625216436
9241817610
10106241310
1154a7473a
122b6b62a6
131901a5a6
1410177970
1594d8d90
hex6551d1e

106241310 has 72 divisors (see below), whose sum is σ = 321339096. Its totient is φ = 24282720.

The previous prime is 106241299. The next prime is 106241327. The reversal of 106241310 is 13142601.

It is a happy number.

106241310 is a `hidden beast` number, since 10 + 624 + 1 + 31 + 0 = 666.

It is a super-2 number, since 2×1062413102 = 22574431901032200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7636 + ... + 16455.

It is an arithmetic number, because the mean of its divisors is an integer number (4463043).

Almost surely, 2106241310 is an apocalyptic number.

106241310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106241310 is an abundant number, since it is smaller than the sum of its proper divisors (215097786).

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

106241310 is a wasteful number, since it uses less digits than its factorization.

106241310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24118 (or 24108 counting only the distinct ones).

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

The square root of 106241310 is about 10307.3425285085. The cubic root of 106241310 is about 473.6212056747.

Adding to 106241310 its reverse (13142601), we get a palindrome (119383911).

The spelling of 106241310 in words is "one hundred six million, two hundred forty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 24091 48182 72273 120455 144546 168637 216819 240910 337274 361365 433638 505911 722730 843185 1011822 1084095 1180459 1517733 1686370 2168190 2360918 2529555 3035466 3541377 5059110 5902295 7082754 7588665 10624131 11804590 15177330 17706885 21248262 35413770 53120655 106241310