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106457 = 1319431
BaseRepresentation
bin11001111111011001
312102000212
4121333121
511401312
62140505
7622241
oct317731
9172025
10106457
1172a8a
1251735
13395c0
142ab21
1521822
hex19fd9

106457 has 8 divisors (see below), whose sum is σ = 120960. Its totient is φ = 92880.

The previous prime is 106453. The next prime is 106487. The reversal of 106457 is 754601.

106457 is nontrivially palindromic in base 4.

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

It is a cyclic number.

It is not a de Polignac number, because 106457 - 22 = 106453 is a prime.

It is a super-2 number, since 2×1064572 = 22666185698, which contains 22 as substring.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106457.

It is not an unprimeable number, because it can be changed into a prime (106451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32 + ... + 462.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2106457 is an apocalyptic number.

It is an amenable number.

106457 is a deficient number, since it is larger than the sum of its proper divisors (14503).

106457 is a wasteful number, since it uses less digits than its factorization.

106457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 106457 is about 326.2774892634. The cubic root of 106457 is about 47.3941502629.

The spelling of 106457 in words is "one hundred six thousand, four hundred fifty-seven".

Divisors: 1 13 19 247 431 5603 8189 106457