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106144448 = 262372109
BaseRepresentation
bin1100101001110…
…10001011000000
321101201200210212
412110322023000
5204133110243
614311013252
72426133014
oct624721300
9241650725
10106144448
1154a08993
122b66a228
1318cb5487
1410150544
1594ba318
hex653a2c0

106144448 has 28 divisors (see below), whose sum is σ = 219791280. Its totient is φ = 50764032.

The previous prime is 106144439. The next prime is 106144457. The reversal of 106144448 is 844441601.

It is an interprime number because it is at equal distance from previous prime (106144439) and next prime (106144457).

It is a super-2 number, since 2×1061444482 = 22533287682449408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34583 + ... + 37526.

Almost surely, 2106144448 is an apocalyptic number.

It is an amenable number.

106144448 is an abundant number, since it is smaller than the sum of its proper divisors (113646832).

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

106144448 is an equidigital number, since it uses as much as digits as its factorization.

106144448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72144 (or 72134 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 106144448 is about 10302.6427677562. The cubic root of 106144448 is about 473.4772257538.

The spelling of 106144448 in words is "one hundred six million, one hundred forty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 736 1472 72109 144218 288436 576872 1153744 1658507 2307488 3317014 4614976 6634028 13268056 26536112 53072224 106144448