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105100332 = 2238758361
BaseRepresentation
bin1100100001110…
…11010000101100
321022202122112220
412100323100230
5203401202312
614232355340
72414223651
oct620732054
9238678486
10105100332
1154365487
122b245b50
1318a0b15c
14dd5bc28
159360c8c
hex643b42c

105100332 has 12 divisors (see below), whose sum is σ = 245234136. Its totient is φ = 35033440.

The previous prime is 105100309. The next prime is 105100337. The reversal of 105100332 is 233001501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×1051003322 = 22092159573020448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105100337) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4379169 + ... + 4379192.

It is an arithmetic number, because the mean of its divisors is an integer number (20436178).

Almost surely, 2105100332 is an apocalyptic number.

105100332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105100332 is an abundant number, since it is smaller than the sum of its proper divisors (140133804).

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

105100332 is a wasteful number, since it uses less digits than its factorization.

105100332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8758368 (or 8758366 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 105100332 is about 10251.8452973111. The cubic root of 105100332 is about 471.9196154882.

Adding to 105100332 its reverse (233001501), we get a palindrome (338101833).

The spelling of 105100332 in words is "one hundred five million, one hundred thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 8758361 17516722 26275083 35033444 52550166 105100332