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106251 = 3107331
BaseRepresentation
bin11001111100001011
312101202020
4121330023
511400001
62135523
7621525
oct317413
9171666
10106251
1172912
12515a3
1339492
142aa15
1521736
hex19f0b

106251 has 8 divisors (see below), whose sum is σ = 143424. Its totient is φ = 69960.

The previous prime is 106243. The next prime is 106261. The reversal of 106251 is 152601.

Adding to 106251 its reverse (152601), we get a palindrome (258852).

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

It is not a de Polignac number, because 106251 - 23 = 106243 is a prime.

It is a super-2 number, since 2×1062512 = 22578550002, which contains 22 as substring.

106251 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 106251.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106251.

It is not an unprimeable number, because it can be changed into a prime (106261) 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, 156 + ... + 486.

It is an arithmetic number, because the mean of its divisors is an integer number (17928).

2106251 is an apocalyptic number.

106251 is a deficient number, since it is larger than the sum of its proper divisors (37173).

106251 is a wasteful number, since it uses less digits than its factorization.

106251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 106251 is about 325.9616541865. The cubic root of 106251 is about 47.3635604499.

The spelling of 106251 in words is "one hundred six thousand, two hundred fifty-one".

Divisors: 1 3 107 321 331 993 35417 106251