Search a number
-
+
105681277 = 1321095737
BaseRepresentation
bin1100100110010…
…01000101111101
321100212011110101
412103021011331
5204023300102
614253041101
72422163452
oct623110575
9240764411
10105681277
11547219a9
122b486191
1318b82700
141006d829
159427e87
hex64c917d

105681277 has 12 divisors (see below), whose sum is σ = 115505940. Its totient is φ = 96640128.

The previous prime is 105681269. The next prime is 105681319. The reversal of 105681277 is 772186501.

It can be written as a sum of positive squares in 6 ways, for example, as 37222201 + 68459076 = 6101^2 + 8274^2 .

It is not a de Polignac number, because 105681277 - 23 = 105681269 is a prime.

It is a super-2 number, since 2×1056812772 = 22337064616701458, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105681217) 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, 15553 + ... + 21289.

It is an arithmetic number, because the mean of its divisors is an integer number (9625495).

Almost surely, 2105681277 is an apocalyptic number.

It is an amenable number.

105681277 is a deficient number, since it is larger than the sum of its proper divisors (9824663).

105681277 is a wasteful number, since it uses less digits than its factorization.

105681277 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5872 (or 5859 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 37.

The square root of 105681277 is about 10280.1399309542. The cubic root of 105681277 is about 472.7875345525.

The spelling of 105681277 in words is "one hundred five million, six hundred eighty-one thousand, two hundred seventy-seven".

Divisors: 1 13 109 169 1417 5737 18421 74581 625333 969553 8129329 105681277