Search a number
-
+
105455454 = 231317671187
BaseRepresentation
bin1100100100100…
…01111101011110
321100102200200120
412102101331132
5203444033304
614244135410
72420233206
oct622217536
9240380616
10105455454
1154588275
122b397566
1318b039a0
1410011406
1593d10d9
hex6491f5e

105455454 has 64 divisors (see below), whose sum is σ = 244290816. Its totient is φ = 30057984.

The previous prime is 105455443. The next prime is 105455461. The reversal of 105455454 is 454554501.

It is a super-2 number, since 2×1054554542 = 22241705556692232, which contains 22 as substring.

It is a congruent number.

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, 88249 + ... + 89435.

It is an arithmetic number, because the mean of its divisors is an integer number (3817044).

Almost surely, 2105455454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105455454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122145408).

105455454 is an abundant number, since it is smaller than the sum of its proper divisors (138835362).

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

105455454 is a wasteful number, since it uses less digits than its factorization.

105455454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289.

The product of its (nonzero) digits is 40000, while the sum is 33.

The square root of 105455454 is about 10269.1505977856. The cubic root of 105455454 is about 472.4505387603.

The spelling of 105455454 in words is "one hundred five million, four hundred fifty-five thousand, four hundred fifty-four".

Divisors: 1 2 3 6 13 17 26 34 39 51 67 78 102 134 201 221 402 442 663 871 1139 1187 1326 1742 2278 2374 2613 3417 3561 5226 6834 7122 14807 15431 20179 29614 30862 40358 44421 46293 60537 79529 88842 92586 121074 159058 238587 262327 477174 524654 786981 1033877 1351993 1573962 2067754 2703986 3101631 4055979 6203262 8111958 17575909 35151818 52727727 105455454