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105342516256 = 256153966453
BaseRepresentation
bin110001000011011100…
…1110011110000100000
3101001220111112021210011
41202012321303300200
53211220141010011
6120221011414304
710416325420435
oct1420671636040
9331814467704
10105342516256
114074811669a
12184babb4394
139c1a604073
145154801b8c
152b1829c621
hex1886e73c20

105342516256 has 24 divisors (see below), whose sum is σ = 210792969324. Its totient is φ = 51807793920.

The previous prime is 105342516239. The next prime is 105342516263. The reversal of 105342516256 is 652615243501.

It can be written as a sum of positive squares in 2 ways, for example, as 65055603600 + 40286912656 = 255060^2 + 200716^2 .

It is a super-2 number, since 2×1053425162562 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26981275 + ... + 26985178.

Almost surely, 2105342516256 is an apocalyptic number.

105342516256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105342516256 is an abundant number, since it is smaller than the sum of its proper divisors (105450453068).

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

105342516256 is an equidigital number, since it uses as much as digits as its factorization.

105342516256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53966524 (or 53966516 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

Adding to 105342516256 its reverse (652615243501), we get a palindrome (757957759757).

The spelling of 105342516256 in words is "one hundred five billion, three hundred forty-two million, five hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1952 53966453 107932906 215865812 431731624 863463248 1726926496 3291953633 6583907266 13167814532 26335629064 52671258128 105342516256