Search a number
-
+
106158012 = 223311372083
BaseRepresentation
bin1100101001111…
…01011110111100
321101202101102020
412110331132330
5204134024022
614311200140
72426220402
oct624753674
9241671366
10106158012
1154a180a4
122b676050
1318cbb6bc
1410155472
1594be35c
hex653d7bc

106158012 has 48 divisors (see below), whose sum is σ = 257682432. Its totient is φ = 33978240.

The previous prime is 106158011. The next prime is 106158023. The reversal of 106158012 is 210851601.

It is a super-2 number, since 2×1061580122 = 22539047023584288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106158011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49923 + ... + 52005.

It is an arithmetic number, because the mean of its divisors is an integer number (5368384).

Almost surely, 2106158012 is an apocalyptic number.

106158012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106158012 is an abundant number, since it is smaller than the sum of its proper divisors (151524420).

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

106158012 is a wasteful number, since it uses less digits than its factorization.

106158012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 106158012 is about 10303.3010244290. The cubic root of 106158012 is about 473.4973931504.

The spelling of 106158012 in words is "one hundred six million, one hundred fifty-eight thousand, twelve".

Divisors: 1 2 3 4 6 12 31 62 93 124 137 186 274 372 411 548 822 1644 2083 4166 4247 6249 8332 8494 12498 12741 16988 24996 25482 50964 64573 129146 193719 258292 285371 387438 570742 774876 856113 1141484 1712226 3424452 8846501 17693002 26539503 35386004 53079006 106158012