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106452461 = 53592577
BaseRepresentation
bin1100101100001…
…01010111101101
321102022100022202
412112011113231
5204222434321
614321351245
72431555013
oct626052755
9242270282
10106452461
11550a9345
122b798525
131909272b
14101d08b3
15952b70b
hex65855ed

106452461 has 12 divisors (see below), whose sum is σ = 110521692. Its totient is φ = 102495744.

The previous prime is 106452443. The next prime is 106452491. The reversal of 106452461 is 164254601.

It can be written as a sum of positive squares in 2 ways, for example, as 95922436 + 10530025 = 9794^2 + 3245^2 .

It is not a de Polignac number, because 106452461 - 210 = 106451437 is a prime.

It is a super-2 number, since 2×1064524612 = 22664252905913042, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106452491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184205 + ... + 184781.

It is an arithmetic number, because the mean of its divisors is an integer number (9210141).

Almost surely, 2106452461 is an apocalyptic number.

It is an amenable number.

106452461 is a deficient number, since it is larger than the sum of its proper divisors (4069231).

106452461 is an frugal number, since it uses more digits than its factorization.

106452461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 106452461 is about 10317.5801911107. The cubic root of 106452461 is about 473.9347667295.

The spelling of 106452461 in words is "one hundred six million, four hundred fifty-two thousand, four hundred sixty-one".

Divisors: 1 53 59 577 3127 3481 30581 34043 184493 1804279 2008537 106452461