Search a number
-
+
105741400 = 2352528707
BaseRepresentation
bin1100100110101…
…11110001011000
321100222012221011
412103113301120
5204032211100
614254223304
72422533652
oct623276130
9240865834
10105741400
1154763096
122b4b4b34
1318ba3b9b
14100876d2
15943abba
hex64d7c58

105741400 has 24 divisors (see below), whose sum is σ = 245849220. Its totient is φ = 42296480.

The previous prime is 105741371. The next prime is 105741407. The reversal of 105741400 is 4147501.

It is a super-2 number, since 2×1057414002 = 22362487347920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105741407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 264154 + ... + 264553.

Almost surely, 2105741400 is an apocalyptic number.

105741400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105741400 is an abundant number, since it is smaller than the sum of its proper divisors (140107820).

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

105741400 is a wasteful number, since it uses less digits than its factorization.

105741400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528723 (or 528714 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 105741400 is about 10283.0637457909. The cubic root of 105741400 is about 472.8771752059.

Adding to 105741400 its reverse (4147501), we get a palindrome (109888901).

The spelling of 105741400 in words is "one hundred five million, seven hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 528707 1057414 2114828 2643535 4229656 5287070 10574140 13217675 21148280 26435350 52870700 105741400