Search a number
-
+
106123554 = 23317115603
BaseRepresentation
bin1100101001101…
…01000100100010
321101200122011000
412110311010202
5204131423204
614310332430
72426015055
oct624650442
9241618130
10106123554
11549a4219
122b65a116
1318ca8b04
1410146a9c
1594b4039
hex6535122

106123554 has 32 divisors (see below), whose sum is σ = 249704640. Its totient is φ = 33293376.

The previous prime is 106123547. The next prime is 106123561. The reversal of 106123554 is 455321601.

106123554 is a `hidden beast` number, since 10 + 612 + 35 + 5 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (106123547) and next prime (106123561).

It is a super-2 number, since 2×1061235542 = 22524417427181832, 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56884 + ... + 58719.

It is an arithmetic number, because the mean of its divisors is an integer number (7803270).

Almost surely, 2106123554 is an apocalyptic number.

106123554 is an abundant number, since it is smaller than the sum of its proper divisors (143581086).

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

106123554 is a wasteful number, since it uses less digits than its factorization.

106123554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115631 (or 115625 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 106123554 is about 10301.6287061804. The cubic root of 106123554 is about 473.4461565126.

The spelling of 106123554 in words is "one hundred six million, one hundred twenty-three thousand, five hundred fifty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 115603 231206 346809 693618 1040427 1965251 2080854 3121281 3930502 5895753 6242562 11791506 17687259 35374518 53061777 106123554