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105145088 = 281921617
BaseRepresentation
bin1100100010001…
…10001100000000
321022211220221112
412101012030000
5203404120323
614233342452
72414501306
oct621061400
9238756845
10105145088
1154396074
122b267a28
1318a25639
14dd70276
15936e178
hex6446300

105145088 has 36 divisors (see below), whose sum is σ = 220935960. Its totient is φ = 49803264.

The previous prime is 105145081. The next prime is 105145091. The reversal of 105145088 is 880541501.

It is a super-2 number, since 2×1051450882 = 22110979061055488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (105145081) 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, 5945 + ... + 15672.

It is an arithmetic number, because the mean of its divisors is an integer number (6137110).

Almost surely, 2105145088 is an apocalyptic number.

It is an amenable number.

105145088 is an abundant number, since it is smaller than the sum of its proper divisors (115790872).

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

105145088 is an equidigital number, since it uses as much as digits as its factorization.

105145088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21652 (or 21638 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 32.

The square root of 105145088 is about 10254.0278915166. The cubic root of 105145088 is about 471.9865935099.

Adding to 105145088 its reverse (880541501), we get a palindrome (985686589).

The spelling of 105145088 in words is "one hundred five million, one hundred forty-five thousand, eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 608 1216 2432 4864 21617 43234 86468 172936 345872 410723 691744 821446 1383488 1642892 2766976 3285784 5533952 6571568 13143136 26286272 52572544 105145088