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106641380 = 2255332069
BaseRepresentation
bin1100101101100…
…11011111100100
321102122221110202
412112303133210
5204300011010
614325410032
72433302546
oct626633744
9242587422
10106641380
115521827a
122b869918
131912a711
141023d696
1595676a5
hex65b37e4

106641380 has 12 divisors (see below), whose sum is σ = 223946940. Its totient is φ = 42656544.

The previous prime is 106641373. The next prime is 106641383. The reversal of 106641380 is 83146601.

It can be written as a sum of positive squares in 2 ways, for example, as 79995136 + 26646244 = 8944^2 + 5162^2 .

It is a super-2 number, since 2×1066413802 = 22744767856608800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106641383) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2666015 + ... + 2666054.

It is an arithmetic number, because the mean of its divisors is an integer number (18662245).

Almost surely, 2106641380 is an apocalyptic number.

106641380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106641380 is an abundant number, since it is smaller than the sum of its proper divisors (117305560).

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

106641380 is a wasteful number, since it uses less digits than its factorization.

106641380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5332078 (or 5332076 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 106641380 is about 10326.7313318397. The cubic root of 106641380 is about 474.2149618138.

Adding to 106641380 its reverse (83146601), we get a palindrome (189787981).

The spelling of 106641380 in words is "one hundred six million, six hundred forty-one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 5332069 10664138 21328276 26660345 53320690 106641380