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106210260 = 223251345389
BaseRepresentation
bin1100101010010…
…10001111010100
321101212001002100
412111022033110
5204142212020
614312242100
72426525622
oct625121724
9241761070
10106210260
1154a53382
122b6a0330
1319009410
141016a512
1594cea90
hex654a3d4

106210260 has 72 divisors (see below), whose sum is σ = 346961160. Its totient is φ = 26143488.

The previous prime is 106210259. The next prime is 106210261. The reversal of 106210260 is 62012601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106210259) and next prime (106210261).

It can be written as a sum of positive squares in 4 ways, for example, as 6170256 + 100040004 = 2484^2 + 10002^2 .

It is a super-2 number, since 2×1062102602 = 22561238658535200, 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 not an unprimeable number, because it can be changed into a prime (106210261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20355 + ... + 25034.

It is an arithmetic number, because the mean of its divisors is an integer number (4818905).

Almost surely, 2106210260 is an apocalyptic number.

106210260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106210260 is an abundant number, since it is smaller than the sum of its proper divisors (240750900).

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

106210260 is a wasteful number, since it uses less digits than its factorization.

106210260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45417 (or 45412 counting only the distinct ones).

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

The square root of 106210260 is about 10305.8362106139. The cubic root of 106210260 is about 473.5750611278.

Adding to 106210260 its reverse (62012601), we get a palindrome (168222861).

The spelling of 106210260 in words is "one hundred six million, two hundred ten thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 45389 90778 136167 181556 226945 272334 408501 453890 544668 590057 680835 817002 907780 1180114 1361670 1634004 1770171 2042505 2360228 2723340 2950285 3540342 4085010 5310513 5900570 7080684 8170020 8850855 10621026 11801140 17701710 21242052 26552565 35403420 53105130 106210260