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105531540 = 22354142899
BaseRepresentation
bin1100100101001…
…00100010010100
321100120120001120
412102210202110
5204004002130
614245523540
72421001062
oct622444224
9240516046
10105531540
115462a454
122b4135b0
1318b2c4ca
1410031032
1593e8910
hex64a4894

105531540 has 48 divisors (see below), whose sum is σ = 302702400. Its totient is φ = 27454720.

The previous prime is 105531509. The next prime is 105531553. The reversal of 105531540 is 45135501.

It is a super-2 number, since 2×1055315402 = 22273811869543200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105531540.

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, 18990 + ... + 23909.

It is an arithmetic number, because the mean of its divisors is an integer number (6306300).

Almost surely, 2105531540 is an apocalyptic number.

105531540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105531540 is an abundant number, since it is smaller than the sum of its proper divisors (197170860).

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

105531540 is a wasteful number, since it uses less digits than its factorization.

105531540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42952 (or 42950 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 105531540 is about 10272.8545205313. The cubic root of 105531540 is about 472.5641356349.

The spelling of 105531540 in words is "one hundred five million, five hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 42899 85798 128697 171596 214495 257394 428990 514788 643485 857980 1286970 1758859 2573940 3517718 5276577 7035436 8794295 10553154 17588590 21106308 26382885 35177180 52765770 105531540