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106953520 = 2451336919
BaseRepresentation
bin1100101111111…
…11101100110000
321110020210122111
412113333230300
5204340003040
614340215104
72436042562
oct627775460
9243223574
10106953520
1155410843
122b99a494
131920980b
14102c1332
1595c9dea
hex65ffb30

106953520 has 20 divisors (see below), whose sum is σ = 248667120. Its totient is φ = 42781376.

The previous prime is 106953499. The next prime is 106953533. The reversal of 106953520 is 25359601.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1069535202 = 22878110880780800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 668380 + ... + 668539.

It is an arithmetic number, because the mean of its divisors is an integer number (12433356).

Almost surely, 2106953520 is an apocalyptic number.

106953520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106953520 is an abundant number, since it is smaller than the sum of its proper divisors (141713600).

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

106953520 is a wasteful number, since it uses less digits than its factorization.

106953520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336932 (or 1336926 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The square root of 106953520 is about 10341.8334931481. The cubic root of 106953520 is about 474.6771878673.

The spelling of 106953520 in words is "one hundred six million, nine hundred fifty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1336919 2673838 5347676 6684595 10695352 13369190 21390704 26738380 53476760 106953520