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10106154 = 2332379103
BaseRepresentation
bin100110100011…
…010100101010
3201000110001000
4212203110222
510041344104
61000335430
7151621002
oct46432452
921013030
1010106154
1157829a3
123474576
13212ac96
1414b1002
15d49639
hex9a352a

10106154 has 64 divisors (see below), whose sum is σ = 23961600. Its totient is φ = 3150576.

The previous prime is 10106149. The next prime is 10106167. The reversal of 10106154 is 45160101.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98067 + ... + 98169.

It is an arithmetic number, because the mean of its divisors is an integer number (374400).

Almost surely, 210106154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10106154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11980800).

10106154 is an abundant number, since it is smaller than the sum of its proper divisors (13855446).

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

10106154 is a wasteful number, since it uses less digits than its factorization.

10106154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 10106154 is about 3179.0177728349. The cubic root of 10106154 is about 216.2031268205.

Adding to 10106154 its reverse (45160101), we get a palindrome (55266255).

The spelling of 10106154 in words is "ten million, one hundred six thousand, one hundred fifty-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 79 103 138 158 206 207 237 309 414 474 618 621 711 927 1242 1422 1817 1854 2133 2369 2781 3634 4266 4738 5451 5562 7107 8137 10902 14214 16274 16353 21321 24411 32706 42642 48822 49059 63963 73233 98118 127926 146466 187151 219699 374302 439398 561453 1122906 1684359 3368718 5053077 10106154