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105032500 = 225442013
BaseRepresentation
bin1100100001010…
…10101100110100
321022122012111121
412100222230310
5203342020000
614231113324
72413522126
oct620525464
9238565447
10105032500
1154319521
122b212844
13189b6311
14dd41216
15934ab1a
hex642ab34

105032500 has 30 divisors (see below), whose sum is σ = 229690538. Its totient is φ = 42012000.

The previous prime is 105032491. The next prime is 105032533. The reversal of 105032500 is 5230501.

It can be written as a sum of positive squares in 5 ways, for example, as 28259856 + 76772644 = 5316^2 + 8762^2 .

It is a super-2 number, since 2×1050325002 = 22063652112500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18507 + ... + 23506.

Almost surely, 2105032500 is an apocalyptic number.

105032500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105032500 is an abundant number, since it is smaller than the sum of its proper divisors (124658038).

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

105032500 is an equidigital number, since it uses as much as digits as its factorization.

105032500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42037 (or 42020 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 105032500 is about 10248.5364808835. The cubic root of 105032500 is about 471.8180676310.

The spelling of 105032500 in words is "one hundred five million, thirty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 42013 84026 168052 210065 420130 840260 1050325 2100650 4201300 5251625 10503250 21006500 26258125 52516250 105032500