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105443502010 = 25711337406349
BaseRepresentation
bin110001000110011101…
…1000010011110111010
3101002011112112220012021
41202030323002132322
53211422014031020
6120235020105054
710421662656520
oct1421473023672
9332145486167
10105443502010
114079a1207a0
121852899518a
139c35501452
145163dac310
152b220991aa
hex188cec27ba

105443502010 has 64 divisors (see below), whose sum is σ = 237334406400. Its totient is φ = 32767902720.

The previous prime is 105443501993. The next prime is 105443502029. The reversal of 105443502010 is 10205344501.

It is a happy number.

It is a super-2 number, since 2×1054435020102 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56316 + ... + 462664.

It is an arithmetic number, because the mean of its divisors is an integer number (3708350100).

Almost surely, 2105443502010 is an apocalyptic number.

105443502010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105443502010 is an abundant number, since it is smaller than the sum of its proper divisors (131890904390).

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

105443502010 is a wasteful number, since it uses less digits than its factorization.

105443502010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406711.

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 105443502010 its reverse (10205344501), we get a palindrome (115648846511).

The spelling of 105443502010 in words is "one hundred five billion, four hundred forty-three million, five hundred two thousand, ten".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 154 337 385 674 770 1685 2359 3370 3707 4718 7414 11795 18535 23590 25949 37070 51898 129745 259490 406349 812698 2031745 2844443 4063490 4469839 5688886 8939678 14222215 22349195 28444430 31288873 44698390 62577746 136939613 156444365 273879226 312888730 684698065 958577291 1369396130 1506335743 1917154582 3012671486 4792886455 7531678715 9585772910 10544350201 15063357430 21088700402 52721751005 105443502010