Search a number
-
+
106554504 = 23371737309
BaseRepresentation
bin1100101100111…
…10010010001000
321102111112022010
412112132102020
5204234221004
614323455520
72432461350
oct626362210
9242445263
10106554504
1155168a81
122b8275a0
13190ca004
1410219b60
15954ba89
hex659e488

106554504 has 64 divisors (see below), whose sum is σ = 322358400. Its totient is φ = 28652544.

The previous prime is 106554467. The next prime is 106554541. The reversal of 106554504 is 405455601.

It is an interprime number because it is at equal distance from previous prime (106554467) and next prime (106554541).

It is a super-2 number, since 2×1065545042 = 22707724645372032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15799 + ... + 21510.

It is an arithmetic number, because the mean of its divisors is an integer number (5036850).

Almost surely, 2106554504 is an apocalyptic number.

106554504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106554504 is an abundant number, since it is smaller than the sum of its proper divisors (215803896).

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

106554504 is a wasteful number, since it uses less digits than its factorization.

106554504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37342 (or 37338 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 106554504 is about 10322.5241099258. The cubic root of 106554504 is about 474.0861528673.

The spelling of 106554504 in words is "one hundred six million, five hundred fifty-four thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 37309 74618 111927 149236 223854 261163 298472 447708 522326 634253 783489 895416 1044652 1268506 1566978 1902759 2089304 2537012 3133956 3805518 4439771 5074024 6267912 7611036 8879542 13319313 15222072 17759084 26638626 35518168 53277252 106554504