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10106457 = 347229313
BaseRepresentation
bin100110100011…
…011001011001
3201000110110020
4212203121121
510041401312
61000341053
7151621614
oct46433131
921013406
1010106457
115783149
123474789
13212b16a
1414b117b
15d4978c
hex9a3659

10106457 has 16 divisors (see below), whose sum is σ = 13866240. Its totient is φ = 6544512.

The previous prime is 10106443. The next prime is 10106477. The reversal of 10106457 is 75460101.

10106457 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10106457 - 212 = 10102361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10106417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32133 + ... + 32445.

It is an arithmetic number, because the mean of its divisors is an integer number (866640).

Almost surely, 210106457 is an apocalyptic number.

It is an amenable number.

10106457 is a deficient number, since it is larger than the sum of its proper divisors (3759783).

10106457 is a wasteful number, since it uses less digits than its factorization.

10106457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 10106457 is about 3179.0654287070. The cubic root of 10106457 is about 216.2052875136.

Adding to 10106457 its reverse (75460101), we get a palindrome (85566558).

The spelling of 10106457 in words is "ten million, one hundred six thousand, four hundred fifty-seven".

Divisors: 1 3 47 141 229 313 687 939 10763 14711 32289 44133 71677 215031 3368819 10106457