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105379470 = 23257167269
BaseRepresentation
bin1100100011111…
…11011010001110
321100021211110100
412101333122032
5203434120340
614242351530
72416465530
oct621773216
9240254410
10105379470
1154536179
122b35b5a6
1318aa8221
14ddd1850
1593b8830
hex647f68e

105379470 has 48 divisors (see below), whose sum is σ = 313129440. Its totient is φ = 24086592.

The previous prime is 105379457. The next prime is 105379507. The reversal of 105379470 is 74973501.

It is a happy number.

It is a super-2 number, since 2×1053794702 = 22209665394961800, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83005 + ... + 84264.

It is an arithmetic number, because the mean of its divisors is an integer number (6523530).

Almost surely, 2105379470 is an apocalyptic number.

105379470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105379470 is an abundant number, since it is smaller than the sum of its proper divisors (207749970).

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

105379470 is a wasteful number, since it uses less digits than its factorization.

105379470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167289 (or 167286 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 105379470 is about 10265.4503067328. The cubic root of 105379470 is about 472.3370396291.

The spelling of 105379470 in words is "one hundred five million, three hundred seventy-nine thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 167269 334538 501807 836345 1003614 1170883 1505421 1672690 2341766 2509035 3010842 3512649 5018070 5854415 7025298 7527105 10537947 11708830 15054210 17563245 21075894 35126490 52689735 105379470