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105212322 = 23233117659
BaseRepresentation
bin1100100010101…
…10100110100010
321022222100011200
412101112212202
5203413243242
614235022030
72415201315
oct621264642
9238870150
10105212322
1154431636
122b29a916
1318a4a117
14dd8a97c
15938404c
hex64569a2

105212322 has 24 divisors (see below), whose sum is σ = 228661680. Its totient is φ = 34962840.

The previous prime is 105212321. The next prime is 105212323. The reversal of 105212322 is 223212501.

It is an interprime number because it is at equal distance from previous prime (105212321) and next prime (105212323).

It is a super-2 number, since 2×1052123222 = 22139265401263368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 105212295 and 105212304.

It is not an unprimeable number, because it can be changed into a prime (105212321) 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, 2872 + ... + 14787.

It is an arithmetic number, because the mean of its divisors is an integer number (9527570).

Almost surely, 2105212322 is an apocalyptic number.

105212322 is an abundant number, since it is smaller than the sum of its proper divisors (123449358).

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

105212322 is a wasteful number, since it uses less digits than its factorization.

105212322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17998 (or 17995 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 105212322 is about 10257.3057866089. The cubic root of 105212322 is about 472.0871744808.

Adding to 105212322 its reverse (223212501), we get a palindrome (328424823).

The spelling of 105212322 in words is "one hundred five million, two hundred twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 331 662 993 1986 2979 5958 17659 35318 52977 105954 158931 317862 5845129 11690258 17535387 35070774 52606161 105212322