Search a number
-
+
106160355 = 3357112339
BaseRepresentation
bin1100101001111…
…10000011100011
321101202111122000
412110332003203
5204134112410
614311215043
72426230260
oct624760343
9241674560
10106160355
1154a19934
122b677483
1318cbc7a2
1410156267
1594bedc0
hex653e0e3

106160355 has 32 divisors (see below), whose sum is σ = 215692800. Its totient is φ = 48530016.

The previous prime is 106160347. The next prime is 106160381. The reversal of 106160355 is 553061601.

It is a happy number.

106160355 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 603 + 55 = 666.

It is not a de Polignac number, because 106160355 - 23 = 106160347 is a prime.

It is a super-2 number, since 2×1061603552 = 22540041947452050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55225 + ... + 57114.

It is an arithmetic number, because the mean of its divisors is an integer number (6740400).

Almost surely, 2106160355 is an apocalyptic number.

106160355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106160355 is an abundant number, since it is smaller than the sum of its proper divisors (109532445).

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

106160355 is a wasteful number, since it uses less digits than its factorization.

106160355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112360 (or 112354 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 106160355 is about 10303.4147252258. The cubic root of 106160355 is about 473.5008766250.

It can be divided in two parts, 1061 and 60355, that added together give a palindrome (61416).

The spelling of 106160355 in words is "one hundred six million, one hundred sixty thousand, three hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 112339 337017 561695 786373 1011051 1685085 2359119 3033153 3931865 5055255 7077357 11795595 15165765 21232071 35386785 106160355