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106260 = 223571123
BaseRepresentation
bin11001111100010100
312101202120
4121330110
511400020
62135540
7621540
oct317424
9171676
10106260
1172920
12515b0
133949b
142aa20
1521740
hex19f14

106260 has 96 divisors (see below), whose sum is σ = 387072. Its totient is φ = 21120.

The previous prime is 106243. The next prime is 106261. The reversal of 106260 is 62601.

It is a super-2 number, since 2×1062602 = 22582375200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4609 + ... + 4631.

It is an arithmetic number, because the mean of its divisors is an integer number (4032).

2106260 is an apocalyptic number.

106260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193536).

106260 is an abundant number, since it is smaller than the sum of its proper divisors (280812).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106260 is a wasteful number, since it uses less digits than its factorization.

106260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 106260 is about 325.9754591990. The cubic root of 106260 is about 47.3648977236.

Adding to 106260 its reverse (62601), we get a palindrome (168861).

The spelling of 106260 in words is "one hundred six thousand, two hundred sixty".