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105521240 = 235112310427
BaseRepresentation
bin1100100101000…
…10000001011000
321100120000221002
412102202001120
5204003134430
614245404132
72420626046
oct622420130
9240500832
10105521240
1154622740
122b409648
1318b27906
141002b396
1593e5845
hex64a2058

105521240 has 64 divisors (see below), whose sum is σ = 270293760. Its totient is φ = 36699520.

The previous prime is 105521239. The next prime is 105521257. The reversal of 105521240 is 42125501.

It is a super-2 number, since 2×1055212402 = 22269464182275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4907 + ... + 15333.

It is an arithmetic number, because the mean of its divisors is an integer number (4223340).

Almost surely, 2105521240 is an apocalyptic number.

105521240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105521240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135146880).

105521240 is an abundant number, since it is smaller than the sum of its proper divisors (164772520).

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

105521240 is a wasteful number, since it uses less digits than its factorization.

105521240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10472 (or 10468 counting only the distinct ones).

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

The square root of 105521240 is about 10272.3531870745. The cubic root of 105521240 is about 472.5487608665.

Adding to 105521240 its reverse (42125501), we get a palindrome (147646741).

The spelling of 105521240 in words is "one hundred five million, five hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 10427 20854 41708 52135 83416 104270 114697 208540 229394 239821 417080 458788 479642 573485 917576 959284 1146970 1199105 1918568 2293940 2398210 2638031 4587880 4796420 5276062 9592840 10552124 13190155 21104248 26380310 52760620 105521240