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105422430645 = 3257536314611
BaseRepresentation
bin110001000101110101…
…0101010000110110101
3101002010001220100201100
41202023222222012311
53211401120240040
6120232544320313
710421315606130
oct1421352520665
9332101810640
10105422430645
1140789239544
1218521913099
139c3103449c
145161285217
152b202d5b30
hex188baaa1b5

105422430645 has 48 divisors (see below), whose sum is σ = 212777165952. Its totient is φ = 47283799680.

The previous prime is 105422430637. The next prime is 105422430647. The reversal of 105422430645 is 546034224501.

105422430645 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 2 + 2 + 4 + 3 + 0 + 645 = 666.

It is not a de Polignac number, because 105422430645 - 23 = 105422430637 is a prime.

It is a super-2 number, since 2×1054224306452 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105422430647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3140611 + ... + 3174000.

It is an arithmetic number, because the mean of its divisors is an integer number (4432857624).

Almost surely, 2105422430645 is an apocalyptic number.

105422430645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105422430645 is an abundant number, since it is smaller than the sum of its proper divisors (107354735307).

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

105422430645 is a wasteful number, since it uses less digits than its factorization.

105422430645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6314682 (or 6314679 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 105422430645 in words is "one hundred five billion, four hundred twenty-two million, four hundred thirty thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 53 63 105 159 265 315 371 477 795 1113 1855 2385 3339 5565 16695 6314611 18943833 31573055 44202277 56831499 94719165 132606831 221011385 284157495 334674383 397820493 663034155 1004023149 1673371915 1989102465 2342720681 3012069447 5020115745 7028162043 11713603405 15060347235 21084486129 35140810215 105422430645