Search a number
-
+
106554276 = 22322959841
BaseRepresentation
bin1100101100111…
…10001110100100
321102111111222200
412112132032210
5204234214101
614323454500
72432460603
oct626361644
9242444880
10106554276
1155168894
122b827430
13190c9b8a
1410219a3a
15954b986
hex659e3a4

106554276 has 18 divisors (see below), whose sum is σ = 269345622. Its totient is φ = 35518080.

The previous prime is 106554263. The next prime is 106554281. The reversal of 106554276 is 672455601.

It is a happy number.

106554276 is a `hidden beast` number, since 106 + 5 + 542 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64641600 + 41912676 = 8040^2 + 6474^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1065542762 = 22707627467768352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2959841 = 106554276 / (1 + 0 + 6 + 5 + 5 + 4 + 2 + 7 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 106554276.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1479885 + ... + 1479956.

Almost surely, 2106554276 is an apocalyptic number.

It is an amenable number.

106554276 is an abundant number, since it is smaller than the sum of its proper divisors (162791346).

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

106554276 is a wasteful number, since it uses less digits than its factorization.

106554276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2959851 (or 2959846 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 106554276 is about 10322.5130661094. The cubic root of 106554276 is about 474.0858147251.

The spelling of 106554276 in words is "one hundred six million, five hundred fifty-four thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 2959841 5919682 8879523 11839364 17759046 26638569 35518092 53277138 106554276