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105151488 = 2103132633
BaseRepresentation
bin1100100010001…
…11110000000000
321022212020201120
412101013300000
5203404321423
614233432240
72414526051
oct621076000
9238766646
10105151488
115439a962
122b26b680
1318a28520
14dd72728
159370ee3
hex6447c00

105151488 has 88 divisors (see below), whose sum is σ = 301940688. Its totient is φ = 32342016.

The previous prime is 105151483. The next prime is 105151489. The reversal of 105151488 is 884151501.

It is a super-2 number, since 2×1051514882 = 22113670857228288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105151481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38620 + ... + 41252.

Almost surely, 2105151488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105151488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150970344).

105151488 is an abundant number, since it is smaller than the sum of its proper divisors (196789200).

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

105151488 is a wasteful number, since it uses less digits than its factorization.

105151488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 33.

The square root of 105151488 is about 10254.3399592563. The cubic root of 105151488 is about 471.9961696520.

The spelling of 105151488 in words is "one hundred five million, one hundred fifty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2496 2633 3072 3328 4992 5266 6656 7899 9984 10532 13312 15798 19968 21064 31596 34229 39936 42128 63192 68458 84256 102687 126384 136916 168512 205374 252768 273832 337024 410748 505536 547664 674048 821496 1011072 1095328 1348096 1642992 2022144 2190656 2696192 3285984 4044288 4381312 6571968 8088576 8762624 13143936 17525248 26287872 35050496 52575744 105151488