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105250488 = 23371274933
BaseRepresentation
bin1100100010111…
…11111010111000
321100001021112020
412101133322320
5203421003423
614235514440
72415420510
oct621377270
9240037466
10105250488
1154458282
122b2b8a20
1318a615c5
14dd9a840
1593904e3
hex645feb8

105250488 has 64 divisors (see below), whose sum is σ = 303144960. Its totient is φ = 29828736.

The previous prime is 105250477. The next prime is 105250489. The reversal of 105250488 is 884052501.

It is a super-2 number, since 2×1052504882 = 22155330448476288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105250489) 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, 18870 + ... + 23802.

It is an arithmetic number, because the mean of its divisors is an integer number (4736640).

Almost surely, 2105250488 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 105250488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151572480).

105250488 is an abundant number, since it is smaller than the sum of its proper divisors (197894472).

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

105250488 is a wasteful number, since it uses less digits than its factorization.

105250488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5076 (or 5072 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 105250488 is about 10259.1660479788. The cubic root of 105250488 is about 472.1442511316.

The spelling of 105250488 in words is "one hundred five million, two hundred fifty thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 127 168 254 381 508 762 889 1016 1524 1778 2667 3048 3556 4933 5334 7112 9866 10668 14799 19732 21336 29598 34531 39464 59196 69062 103593 118392 138124 207186 276248 414372 626491 828744 1252982 1879473 2505964 3758946 4385437 5011928 7517892 8770874 13156311 15035784 17541748 26312622 35083496 52625244 105250488