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106030692 = 223212372381
BaseRepresentation
bin1100101000111…
…10011001100100
321101111220202200
412110132121210
5204120440232
614304334500
72425150245
oct624363144
9241456680
10106030692
1154940479
122b614430
1318c75771
1410120ccc
15949677c
hex651e664

106030692 has 36 divisors (see below), whose sum is σ = 268351356. Its totient is φ = 35300160.

The previous prime is 106030681. The next prime is 106030723. The reversal of 106030692 is 296030601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 28132416 + 77898276 = 5304^2 + 8826^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1060306922 = 22485015291997728, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43342 + ... + 45722.

Almost surely, 2106030692 is an apocalyptic number.

106030692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106030692 is an abundant number, since it is smaller than the sum of its proper divisors (162320664).

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

106030692 is a wasteful number, since it uses less digits than its factorization.

106030692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3628 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 106030692 is about 10297.1205683919. The cubic root of 106030692 is about 473.3080219664.

The spelling of 106030692 in words is "one hundred six million, thirty thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 1237 2381 2474 3711 4762 4948 7143 7422 9524 11133 14286 14844 21429 22266 28572 42858 44532 85716 2945297 5890594 8835891 11781188 17671782 26507673 35343564 53015346 106030692