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105024996 = 22322917361
BaseRepresentation
bin1100100001010…
…00110111100100
321022121211012200
412100220313210
5203341244441
614231014500
72413461216
oct620506744
9238554180
10105024996
115431391a
122b20a430
13189b2a8b
14dd3c5b6
1593487b6
hex6428de4

105024996 has 18 divisors (see below), whose sum is σ = 265479942. Its totient is φ = 35008320.

The previous prime is 105024991. The next prime is 105025021. The reversal of 105024996 is 699420501.

It can be written as a sum of positive squares in only one way, i.e., 93896100 + 11128896 = 9690^2 + 3336^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1050249962 = 22060499569600032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2917361 = 105024996 / (1 + 0 + 5 + 0 + 2 + 4 + 9 + 9 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 105024996.

It is not an unprimeable number, because it can be changed into a prime (105024991) 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, 1458645 + ... + 1458716.

Almost surely, 2105024996 is an apocalyptic number.

It is an amenable number.

105024996 is an abundant number, since it is smaller than the sum of its proper divisors (160454946).

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

105024996 is a wasteful number, since it uses less digits than its factorization.

105024996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2917371 (or 2917366 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 105024996 is about 10248.1703732910. The cubic root of 105024996 is about 471.8068310864.

The spelling of 105024996 in words is "one hundred five million, twenty-four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 2917361 5834722 8752083 11669444 17504166 26256249 35008332 52512498 105024996