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105053006551045 = 5723791945758147
BaseRepresentation
bin10111111000101110001111…
…001000110101100000000101
3111202221222011122121110000011
4113320232033020311200011
5102232142024134113140
61011232403541350221
731061554302146200
oct2770561710654005
9452858148543004
10105053006551045
1130522803521013
12b947b87408371
1346805c0b161c7
141bd2842318937
15c22a0a7c0cea
hex5f8b8f235805

105053006551045 has 48 divisors (see below), whose sum is σ = 147042434168640. Its totient is φ = 71841349730304.

The previous prime is 105053006551037. The next prime is 105053006551079. The reversal of 105053006551045 is 540155600350501.

It is a happy number.

It is not a de Polignac number, because 105053006551045 - 23 = 105053006551037 is a prime.

It is a super-2 number, since 2×1050530065510452 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105053006550989 and 105053006551007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1806650662 + ... + 1806708808.

It is an arithmetic number, because the mean of its divisors is an integer number (3063384045180).

Almost surely, 2105053006551045 is an apocalyptic number.

It is an amenable number.

105053006551045 is a deficient number, since it is larger than the sum of its proper divisors (41989427617595).

105053006551045 is a wasteful number, since it uses less digits than its factorization.

105053006551045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78002 (or 77995 counting only the distinct ones).

The product of its (nonzero) digits is 225000, while the sum is 40.

The spelling of 105053006551045 in words is "one hundred five trillion, fifty-three billion, six million, five hundred fifty-one thousand, forty-five".

Divisors: 1 5 7 35 49 245 379 1895 2653 13265 18571 19457 58147 92855 97285 136199 290735 407029 680995 953393 2035145 2849203 4766965 7374203 14246015 22037713 36871015 51619421 110188565 154263991 258097105 361335947 771319955 1079847937 1131366179 1806679735 5399239685 5656830895 7919563253 39597816265 55436942771 277184713855 428787781841 2143938909205 3001514472887 15007572364435 21010601310209 105053006551045