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105542235124 = 22171552091693
BaseRepresentation
bin110001001001011001…
…1101011001111110100
3101002102102100001120021
41202102303223033310
53212122303010444
6120252504214524
710424302124254
oct1422263531764
9332372301507
10105542235124
114083a927407
1218555a6a444
139c4cac0401
14517314d964
152b2aa9d584
hex1892ceb3f4

105542235124 has 12 divisors (see below), whose sum is σ = 195563553444. Its totient is φ = 49666934144.

The previous prime is 105542235119. The next prime is 105542235143. The reversal of 105542235124 is 421532245501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 66709591524 + 38832643600 = 258282^2 + 197060^2 .

It is a super-2 number, since 2×1055422351242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 105542235124.

It is a congruent number.

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, 776045779 + ... + 776045914.

It is an arithmetic number, because the mean of its divisors is an integer number (16296962787).

Almost surely, 2105542235124 is an apocalyptic number.

It is an amenable number.

105542235124 is a deficient number, since it is larger than the sum of its proper divisors (90021318320).

105542235124 is a wasteful number, since it uses less digits than its factorization.

105542235124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552091714 (or 1552091712 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The spelling of 105542235124 in words is "one hundred five billion, five hundred forty-two million, two hundred thirty-five thousand, one hundred twenty-four".

Divisors: 1 2 4 17 34 68 1552091693 3104183386 6208366772 26385558781 52771117562 105542235124