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105627045 = 3537832293
BaseRepresentation
bin1100100101110…
…11110110100101
321100202102001210
412102323312211
5204020031140
614251542033
72421546366
oct622736645
9240672053
10105627045
1154695187
122b45a919
1318b63b14
1410057b6d
159416d80
hex64bbda5

105627045 has 32 divisors (see below), whose sum is σ = 175738752. Its totient is φ = 54127872.

The previous prime is 105627037. The next prime is 105627047. The reversal of 105627045 is 540726501.

It is not a de Polignac number, because 105627045 - 23 = 105627037 is a prime.

It is a super-2 number, since 2×1056270452 = 22314145270864050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105627047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44919 + ... + 47211.

It is an arithmetic number, because the mean of its divisors is an integer number (5491836).

Almost surely, 2105627045 is an apocalyptic number.

105627045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105627045 is a deficient number, since it is larger than the sum of its proper divisors (70111707).

105627045 is a wasteful number, since it uses less digits than its factorization.

105627045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421.

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 105627045 is about 10277.5018851859. The cubic root of 105627045 is about 472.7066479425.

The spelling of 105627045 in words is "one hundred five million, six hundred twenty-seven thousand, forty-five".

Divisors: 1 3 5 15 37 83 111 185 249 415 555 1245 2293 3071 6879 9213 11465 15355 34395 46065 84841 190319 254523 424205 570957 951595 1272615 2854785 7041803 21125409 35209015 105627045