106459100 has 72 divisors (see below), whose sum is σ = 266889168. Its totient is φ = 36428800.

The previous prime is 106459079. The next prime is 106459103. The reversal of 106459100 is 1954601.

It is a super-2 number, since 2×106459100² = 22667079945620000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106459100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106459103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15854 + ... + 21546.

It is an arithmetic number, because the mean of its divisors is an integer number (3706794).

Almost surely, 2^106459100 is an apocalyptic number.

106459100 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 106459100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133444584).

106459100 is an abundant number, since it is smaller than the sum of its proper divisors (160430068).

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

106459100 is a wasteful number, since it uses less digits than its factorization.

106459100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5735 (or 5728 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 106459100 is about 10317.9019185104. The cubic root of 106459100 is about 473.9446189755.

The spelling of 106459100 in words is "one hundred six million, four hundred fifty-nine thousand, one hundred".