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106212252 = 22323384827
BaseRepresentation
bin1100101010010…
…10101110011100
321101212010211010
412111022232130
5204142243002
614312255220
72426534466
oct625125634
9241763733
10106212252
1154a54923
122b6a1510
131900a2b3
141016b136
1594d046c
hex654ab9c

106212252 has 24 divisors (see below), whose sum is σ = 258604416. Its totient is φ = 33864688.

The previous prime is 106212221. The next prime is 106212269. The reversal of 106212252 is 252212601.

It is a happy number.

It is a super-2 number, since 2×1062122522 = 22562084949823008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192138 + ... + 192689.

It is an arithmetic number, because the mean of its divisors is an integer number (10775184).

Almost surely, 2106212252 is an apocalyptic number.

106212252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106212252 is an abundant number, since it is smaller than the sum of its proper divisors (152392164).

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

106212252 is a wasteful number, since it uses less digits than its factorization.

106212252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384857 (or 384855 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 106212252 is about 10305.9328544290. The cubic root of 106212252 is about 473.5780217822.

Adding to 106212252 its reverse (252212601), we get a palindrome (358424853).

The spelling of 106212252 in words is "one hundred six million, two hundred twelve thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 384827 769654 1154481 1539308 2308962 4617924 8851021 17702042 26553063 35404084 53106126 106212252