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105679974 = 2359487613
BaseRepresentation
bin1100100110010…
…00110001100110
321100212002200010
412103020301212
5204023224344
614253031050
72422156611
oct623106146
9240762603
10105679974
1154720a24
122b485486
1318b81c3a
141006d178
1594278b9
hex64c8c66

105679974 has 32 divisors (see below), whose sum is σ = 215735040. Its totient is φ = 34502112.

The previous prime is 105679949. The next prime is 105679979. The reversal of 105679974 is 479976501.

It is a happy number.

It is a super-2 number, since 2×1056799742 = 22336513809281352, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105679979) 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, 172092 + ... + 172704.

It is an arithmetic number, because the mean of its divisors is an integer number (6741720).

Almost surely, 2105679974 is an apocalyptic number.

105679974 is an abundant number, since it is smaller than the sum of its proper divisors (110055066).

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

105679974 is a wasteful number, since it uses less digits than its factorization.

105679974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164.

The product of its (nonzero) digits is 476280, while the sum is 48.

The square root of 105679974 is about 10280.0765561352. The cubic root of 105679974 is about 472.7855914626.

The spelling of 105679974 in words is "one hundred five million, six hundred seventy-nine thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 59 118 177 354 487 613 974 1226 1461 1839 2922 3678 28733 36167 57466 72334 86199 108501 172398 217002 298531 597062 895593 1791186 17613329 35226658 52839987 105679974