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106493629 = 1114096871
BaseRepresentation
bin1100101100011…
…11011010111101
321102101102210111
412112033122331
5204230244004
614322310021
72432116024
oct626173275
9242342714
10106493629
1155127270
122b7b8311
13190a83a8
14102018bb
159538a04
hex658f6bd

106493629 has 8 divisors (see below), whose sum is σ = 116274240. Its totient is φ = 96729600.

The previous prime is 106493609. The next prime is 106493633. The reversal of 106493629 is 926394601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106493629 - 219 = 105969341 is a prime.

It is a super-2 number, since 2×1064936292 = 22681786035179282, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106493591 and 106493600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106493609) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12064 + ... + 18934.

It is an arithmetic number, because the mean of its divisors is an integer number (14534280).

Almost surely, 2106493629 is an apocalyptic number.

It is an amenable number.

106493629 is a deficient number, since it is larger than the sum of its proper divisors (9780611).

106493629 is a wasteful number, since it uses less digits than its factorization.

106493629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8291.

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 106493629 is about 10319.5750397000. The cubic root of 106493629 is about 473.9958532517.

The spelling of 106493629 in words is "one hundred six million, four hundred ninety-three thousand, six hundred twenty-nine".

Divisors: 1 11 1409 6871 15499 75581 9681239 106493629