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105389397 = 337949409
BaseRepresentation
bin1100100100000…
…01110101010101
321100022100002000
412102001311111
5203434430042
614242505513
72416536501
oct622016525
9240270060
10105389397
1154542683
122b365299
1318aac8b9
14ddd5301
1593bb74c
hex6481d55

105389397 has 16 divisors (see below), whose sum is σ = 158112000. Its totient is φ = 69368832.

The previous prime is 105389363. The next prime is 105389423. The reversal of 105389397 is 793983501.

It is a happy number.

It is not a de Polignac number, because 105389397 - 27 = 105389269 is a prime.

It is a super-2 number, since 2×1053893972 = 22213850000047218, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105389597) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22572 + ... + 26837.

It is an arithmetic number, because the mean of its divisors is an integer number (9882000).

Almost surely, 2105389397 is an apocalyptic number.

It is an amenable number.

105389397 is a deficient number, since it is larger than the sum of its proper divisors (52722603).

105389397 is an equidigital number, since it uses as much as digits as its factorization.

105389397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49497 (or 49491 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 105389397 is about 10265.9338104237. The cubic root of 105389397 is about 472.3518709258.

The spelling of 105389397 in words is "one hundred five million, three hundred eighty-nine thousand, three hundred ninety-seven".

Divisors: 1 3 9 27 79 237 711 2133 49409 148227 444681 1334043 3903311 11709933 35129799 105389397