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106894921 = 742112
BaseRepresentation
bin1100101111100…
…01011001001001
321110010211021011
412113301121021
5204331114141
614335043521
72435410000
oct627613111
9243124234
10106894921
1155380811
122b9705a1
13191b8c43
14102a7c37
1595b7881
hex65f1649

106894921 has 15 divisors (see below), whose sum is σ = 125297133. Its totient is φ = 91189980.

The previous prime is 106894889. The next prime is 106894927. The reversal of 106894921 is 129498601.

The square root of 106894921 is 10339.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 106894921 - 25 = 106894889 is a prime.

It is a super-2 number, since 2×1068949212 = 22853048271192482, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106894927) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 506506 + ... + 506716.

Almost surely, 2106894921 is an apocalyptic number.

106894921 is the 10339-th square number.

106894921 is the 5170-th centered octagonal number.

It is an amenable number.

106894921 is a deficient number, since it is larger than the sum of its proper divisors (18402212).

106894921 is an frugal number, since it uses more digits than its factorization.

106894921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The cubic root of 106894921 is about 474.5904813863.

The spelling of 106894921 in words is "one hundred six million, eight hundred ninety-four thousand, nine hundred twenty-one".

Divisors: 1 7 49 211 343 1477 2401 10339 44521 72373 311647 506611 2181529 15270703 106894921