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105628919 = 1123341213
BaseRepresentation
bin1100100101111…
…00010011110111
321100202111122012
412102330103313
5204020111134
614251554435
72421555014
oct622742367
9240674565
10105628919
1154696630
122b45ba1b
1318b64926
141005870b
1594176ce
hex64bc4f7

105628919 has 8 divisors (see below), whose sum is σ = 115728912. Its totient is φ = 95611840.

The previous prime is 105628907. The next prime is 105628927. The reversal of 105628919 is 919826501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105628919 is a prime.

It is a super-2 number, since 2×1056289192 = 22314937058217122, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105628979) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18044 + ... + 23169.

It is an arithmetic number, because the mean of its divisors is an integer number (14466114).

Almost surely, 2105628919 is an apocalyptic number.

105628919 is a deficient number, since it is larger than the sum of its proper divisors (10099993).

105628919 is a wasteful number, since it uses less digits than its factorization.

105628919 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41457.

The product of its (nonzero) digits is 38880, while the sum is 41.

The square root of 105628919 is about 10277.5930547964. The cubic root of 105628919 is about 472.7094434608.

The spelling of 105628919 in words is "one hundred five million, six hundred twenty-eight thousand, nine hundred nineteen".

Divisors: 1 11 233 2563 41213 453343 9602629 105628919