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105418496 = 281724223
BaseRepresentation
bin1100100100010…
…00111100000000
321100100210222202
412102020330000
5203441342441
614243252332
72420020361
oct622107400
9240323882
10105418496
1154562527
122b37a0a8
1318abcc11
1410001b68
1593c519b
hex6488f00

105418496 has 36 divisors (see below), whose sum is σ = 222812352. Its totient is φ = 49606656.

The previous prime is 105418487. The next prime is 105418501. The reversal of 105418496 is 694814501.

It is a super-2 number, since 2×1054184962 = 22226118597804032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7760 + ... + 16463.

It is an arithmetic number, because the mean of its divisors is an integer number (6189232).

Almost surely, 2105418496 is an apocalyptic number.

105418496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105418496 is an abundant number, since it is smaller than the sum of its proper divisors (117393856).

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

105418496 is an equidigital number, since it uses as much as digits as its factorization.

105418496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24256 (or 24242 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 105418496 is about 10267.3509728654. The cubic root of 105418496 is about 472.3953405178.

The spelling of 105418496 in words is "one hundred five million, four hundred eighteen thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 4352 24223 48446 96892 193784 387568 411791 775136 823582 1550272 1647164 3100544 3294328 6201088 6588656 13177312 26354624 52709248 105418496