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104145012 = 223223731723
BaseRepresentation
bin1100011010100…
…10000001110100
321020222010002200
412031102001310
5203130120022
614200104500
72403134526
oct615220164
9236863080
10104145012
1153872764
122aa65130
131876538a
14db8da16
159222bac
hex6352074

104145012 has 72 divisors (see below), whose sum is σ = 278625984. Its totient is φ = 32731776.

The previous prime is 104145007. The next prime is 104145037. The reversal of 104145012 is 210541401.

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 23 ways as a sum of consecutive naturals, for example, 59583 + ... + 61305.

Almost surely, 2104145012 is an apocalyptic number.

104145012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104145012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139312992).

104145012 is an abundant number, since it is smaller than the sum of its proper divisors (174480972).

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

104145012 is a wasteful number, since it uses less digits than its factorization.

104145012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 104145012 is about 10205.1463487791. The cubic root of 104145012 is about 470.4854076665.

Adding to 104145012 its reverse (210541401), we get a palindrome (314686413).

The spelling of 104145012 in words is "one hundred four million, one hundred forty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 73 92 138 146 207 219 276 292 414 438 657 828 876 1314 1679 1723 2628 3358 3446 5037 5169 6716 6892 10074 10338 15111 15507 20148 20676 30222 31014 39629 60444 62028 79258 118887 125779 158516 237774 251558 356661 377337 475548 503116 713322 754674 1132011 1426644 1509348 2264022 2892917 4528044 5785834 8678751 11571668 17357502 26036253 34715004 52072506 104145012