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105113214 = 2341514297
BaseRepresentation
bin1100100001111…
…10011001111110
321022210022020000
412100332121332
5203402110324
614232535130
72414306343
oct620763176
9238708200
10105113214
1154374128
122b2514a6
1318a13c8b
14dd627ca
1593649c9
hex643e67e

105113214 has 40 divisors (see below), whose sum is σ = 237146448. Its totient is φ = 34797600.

The previous prime is 105113209. The next prime is 105113231. The reversal of 105113214 is 412311501.

It is a super-2 number, since 2×1051132142 = 22097575514819592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22314 + ... + 26610.

Almost surely, 2105113214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105113214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118573224).

105113214 is an abundant number, since it is smaller than the sum of its proper divisors (132033234).

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

105113214 is a wasteful number, since it uses less digits than its factorization.

105113214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4462 (or 4453 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 105113214 is about 10252.4735551963. The cubic root of 105113214 is about 471.9388955419.

Adding to 105113214 its reverse (412311501), we get a palindrome (517424715).

The spelling of 105113214 in words is "one hundred five million, one hundred thirteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 151 162 302 453 906 1359 2718 4077 4297 8154 8594 12231 12891 24462 25782 38673 77346 116019 232038 348057 648847 696114 1297694 1946541 3893082 5839623 11679246 17518869 35037738 52556607 105113214