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105721340 = 22523311739
BaseRepresentation
bin1100100110100…
…10110111111100
321100221012102012
412103102313330
5204031040330
614253550352
72422421324
oct623226774
9240835365
10105721340
115474a00a
122b4a53b8
1318b97a0a
1410080284
159434c95
hex64d2dfc

105721340 has 48 divisors (see below), whose sum is σ = 232727040. Its totient is φ = 40265280.

The previous prime is 105721307. The next prime is 105721349. The reversal of 105721340 is 43127501.

It is a super-2 number, since 2×1057213402 = 22354003462791200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105721349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142691 + ... + 143429.

It is an arithmetic number, because the mean of its divisors is an integer number (4848480).

Almost surely, 2105721340 is an apocalyptic number.

105721340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105721340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116363520).

105721340 is an abundant number, since it is smaller than the sum of its proper divisors (127005700).

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

105721340 is a wasteful number, since it uses less digits than its factorization.

105721340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 105721340 is about 10282.0883092881. The cubic root of 105721340 is about 472.8472704381.

Adding to 105721340 its reverse (43127501), we get a palindrome (148848841).

The spelling of 105721340 in words is "one hundred five million, seven hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 311 460 622 739 1244 1478 1555 2956 3110 3695 6220 7153 7390 14306 14780 16997 28612 33994 35765 67988 71530 84985 143060 169970 229829 339940 459658 919316 1149145 2298290 4596580 5286067 10572134 21144268 26430335 52860670 105721340