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105043154240 = 265893688313
BaseRepresentation
bin110000111010100001…
…1110101010101000000
3101001010122020010022002
41201311003311111000
53210112021413430
6120131155203132
710406032036043
oct1416503652500
9331118203262
10105043154240
1140604138572
12184368a64a8
139ba059a78b
145126b56c5a
152aebd67845
hex18750f5540

105043154240 has 56 divisors (see below), whose sum is σ = 252944574120. Its totient is φ = 41545146368.

The previous prime is 105043154233. The next prime is 105043154243. The reversal of 105043154240 is 42451340501.

It can be written as a sum of positive squares in 4 ways, for example, as 1812034624 + 103231119616 = 42568^2 + 321296^2 .

It is a super-2 number, since 2×1050431542402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105043154243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1815677 + ... + 1872636.

It is an arithmetic number, because the mean of its divisors is an integer number (4516867395).

Almost surely, 2105043154240 is an apocalyptic number.

105043154240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105043154240 is an abundant number, since it is smaller than the sum of its proper divisors (147901419880).

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

105043154240 is an equidigital number, since it uses as much as digits as its factorization.

105043154240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688419 (or 3688409 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 105043154240 its reverse (42451340501), we get a palindrome (147494494741).

The spelling of 105043154240 in words is "one hundred five billion, forty-three million, one hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 160 178 320 356 445 712 890 1424 1780 2848 3560 5696 7120 14240 28480 3688313 7376626 14753252 18441565 29506504 36883130 59013008 73766260 118026016 147532520 236052032 295065040 328259857 590130080 656519714 1180260160 1313039428 1641299285 2626078856 3282598570 5252157712 6565197140 10504315424 13130394280 21008630848 26260788560 52521577120 105043154240