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105401450 = 25272113911
BaseRepresentation
bin1100100100001…
…00110001101010
321100022221121102
412102010301222
5203440321300
614243041402
72416616600
oct622046152
9240287542
10105401450
1154550740
122b370262
1318ab522b
14ddd9870
1593c00d5
hex6484c6a

105401450 has 72 divisors (see below), whose sum is σ = 248850144. Its totient is φ = 32844000.

The previous prime is 105401437. The next prime is 105401459. The reversal of 105401450 is 54104501.

It is a super-2 number, since 2×1054014502 = 22218931324205000, which contains 22 as substring.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (105401459) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 24995 + ... + 28905.

It is an arithmetic number, because the mean of its divisors is an integer number (3456252).

Almost surely, 2105401450 is an apocalyptic number.

105401450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105401450 is an abundant number, since it is smaller than the sum of its proper divisors (143448694).

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

105401450 is a wasteful number, since it uses less digits than its factorization.

105401450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 105401450 is about 10266.5208322976. The cubic root of 105401450 is about 472.3698772915.

Adding to 105401450 its reverse (54104501), we get a palindrome (159505951).

The spelling of 105401450 in words is "one hundred five million, four hundred one thousand, four hundred fifty".

Divisors: 1 2 5 7 10 11 14 22 25 35 49 50 55 70 77 98 110 154 175 245 275 350 385 490 539 550 770 1078 1225 1925 2450 2695 3850 3911 5390 7822 13475 19555 26950 27377 39110 43021 54754 86042 97775 136885 191639 195550 215105 273770 301147 383278 430210 602294 684425 958195 1075525 1368850 1505735 1916390 2108029 2151050 3011470 4216058 4790975 7528675 9581950 10540145 15057350 21080290 52700725 105401450