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106121260 = 22572108287
BaseRepresentation
bin1100101001101…
…00100000101100
321101200112000001
412110310200230
5204131340020
614310314044
72426005300
oct624644054
9241615001
10106121260
11549a2523
122b658924
1318ca7a5b
1410145d00
1594b350a
hex653482c

106121260 has 36 divisors (see below), whose sum is σ = 259241472. Its totient is φ = 36384096.

The previous prime is 106121221. The next prime is 106121261. The reversal of 106121260 is 62121601.

It is a super-2 number, since 2×1061212602 = 22523443647975200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106121261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53164 + ... + 55123.

It is an arithmetic number, because the mean of its divisors is an integer number (7201152).

Almost surely, 2106121260 is an apocalyptic number.

106121260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106121260 is an abundant number, since it is smaller than the sum of its proper divisors (153120212).

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

106121260 is a wasteful number, since it uses less digits than its factorization.

106121260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108310 (or 108301 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 106121260 is about 10301.5173639615. The cubic root of 106121260 is about 473.4427451012.

Adding to 106121260 its reverse (62121601), we get a palindrome (168242861).

The spelling of 106121260 in words is "one hundred six million, one hundred twenty-one thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 108287 216574 433148 541435 758009 1082870 1516018 2165740 3032036 3790045 5306063 7580090 10612126 15160180 21224252 26530315 53060630 106121260