Search a number
-
+
106153404 = 22372180533
BaseRepresentation
bin1100101001111…
…00010110111100
321101202011002120
412110330112330
5204133402104
614311122540
72426201100
oct624742674
9241664076
10106153404
1154a14695
122b673450
1318cb9586
1410153900
1594bccd9
hex653c5bc

106153404 has 36 divisors (see below), whose sum is σ = 288132264. Its totient is φ = 30329376.

The previous prime is 106153403. The next prime is 106153409. The reversal of 106153404 is 404351601.

It is a super-2 number, since 2×1061534042 = 22537090361574432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106153403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89679 + ... + 90854.

It is an arithmetic number, because the mean of its divisors is an integer number (8003674).

Almost surely, 2106153404 is an apocalyptic number.

106153404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106153404 is an abundant number, since it is smaller than the sum of its proper divisors (181978860).

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

106153404 is a wasteful number, since it uses less digits than its factorization.

106153404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180554 (or 180545 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 106153404 is about 10303.0774043487. The cubic root of 106153404 is about 473.4905420187.

The spelling of 106153404 in words is "one hundred six million, one hundred fifty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 180533 361066 541599 722132 1083198 1263731 2166396 2527462 3791193 5054924 7582386 8846117 15164772 17692234 26538351 35384468 53076702 106153404