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105402332 = 22721134759
BaseRepresentation
bin1100100100001…
…00111111011100
321100022222211002
412102010333130
5203440333312
614243045432
72416622300
oct622047734
9240288732
10105402332
1154551372
122b370878
1318ab5759
14ddd9d00
1593c04c2
hex6484fdc

105402332 has 36 divisors (see below), whose sum is σ = 216513360. Its totient is φ = 44763264.

The previous prime is 105402317. The next prime is 105402337. The reversal of 105402332 is 233204501.

It is a happy number.

It is a super-2 number, since 2×1054023322 = 22219303182076448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105402337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19769 + ... + 24527.

It is an arithmetic number, because the mean of its divisors is an integer number (6014260).

Almost surely, 2105402332 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 105402332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108256680).

105402332 is an abundant number, since it is smaller than the sum of its proper divisors (111111028).

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

105402332 is a wasteful number, since it uses less digits than its factorization.

105402332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4890 (or 4881 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 105402332 is about 10266.5637873633. The cubic root of 105402332 is about 472.3711948859.

Adding to 105402332 its reverse (233204501), we get a palindrome (338606833).

The spelling of 105402332 in words is "one hundred five million, four hundred two thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 113 196 226 452 791 1582 3164 4759 5537 9518 11074 19036 22148 33313 66626 133252 233191 466382 537767 932764 1075534 2151068 3764369 7528738 15057476 26350583 52701166 105402332