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105741520225 = 521117372272693
BaseRepresentation
bin110001001111010101…
…1111000110101100001
3101002221022022210022221
41202132223320311201
53213024312121400
6120324343431041
710432242043345
oct1423653706541
9332838283287
10105741520225
1140932371240
12185b0755481
139c821871a3
1451917c7625
152b3d315c1a
hex189eaf8d61

105741520225 has 96 divisors (see below), whose sum is σ = 156290103936. Its totient is φ = 70086758400.

The previous prime is 105741520217. The next prime is 105741520243. The reversal of 105741520225 is 522025147501.

It is not a de Polignac number, because 105741520225 - 23 = 105741520217 is a prime.

It is a super-2 number, since 2×1057415202252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39263979 + ... + 39266671.

It is an arithmetic number, because the mean of its divisors is an integer number (1628021916).

Almost surely, 2105741520225 is an apocalyptic number.

It is an amenable number.

105741520225 is a deficient number, since it is larger than the sum of its proper divisors (50548583711).

105741520225 is a wasteful number, since it uses less digits than its factorization.

105741520225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2995 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 34.

Adding to 105741520225 its reverse (522025147501), we get a palindrome (627766667726).

The spelling of 105741520225 in words is "one hundred five billion, seven hundred forty-one million, five hundred twenty thousand, two hundred twenty-five".

Divisors: 1 5 11 17 25 37 55 85 185 187 227 275 407 425 629 925 935 1135 2035 2497 2693 3145 3859 4675 5675 6919 8399 10175 12485 13465 15725 19295 29623 34595 41995 42449 45781 62425 67325 92389 96475 99641 142783 148115 172975 209975 212245 228905 461945 498205 503591 611311 713915 740575 1061225 1096051 1144525 1570613 1693897 2309725 2491025 2517955 3056555 3569575 5480255 6724421 7853065 8469485 10392287 12589775 15282775 18632867 22618507 27401275 33622105 39265325 42347425 51961435 93164335 113092535 114315157 168110525 248803577 259807175 384514619 465821675 565462675 571575785 1244017885 1922573095 2857878925 4229660809 6220089425 9612865475 21148304045 105741520225