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105450401 = 724152489
BaseRepresentation
bin1100100100100…
…00101110100001
321100102102202102
412102100232201
5203443403101
614244100145
72420212400
oct622205641
9240372672
10105450401
11545844a1
122b394655
1318b015b4
141000d637
1593ce86b
hex6490ba1

105450401 has 12 divisors (see below), whose sum is σ = 125661060. Its totient is φ = 88179840.

The previous prime is 105450379. The next prime is 105450451. The reversal of 105450401 is 104054501.

It can be written as a sum of positive squares in 2 ways, for example, as 10368400 + 95082001 = 3220^2 + 9751^2 .

It is a de Polignac number, because none of the positive numbers 2k-105450401 is a prime.

It is a super-2 number, since 2×1054504012 = 22239574142121602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105450451) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 24236 + ... + 28253.

It is an arithmetic number, because the mean of its divisors is an integer number (10471755).

Almost surely, 2105450401 is an apocalyptic number.

It is an amenable number.

105450401 is a deficient number, since it is larger than the sum of its proper divisors (20210659).

105450401 is an equidigital number, since it uses as much as digits as its factorization.

105450401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52544 (or 52537 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 105450401 is about 10268.9045667004. The cubic root of 105450401 is about 472.4429926651.

The spelling of 105450401 in words is "one hundred five million, four hundred fifty thousand, four hundred one".

Divisors: 1 7 41 49 287 2009 52489 367423 2152049 2571961 15064343 105450401