106460900 has 72 divisors (see below), whose sum is σ = 284356800. Its totient is φ = 33690240.

The previous prime is 106460891. The next prime is 106460909. The reversal of 106460900 is 9064601.

It is an interprime number because it is at equal distance from previous prime (106460891) and next prime (106460909).

It is a super-2 number, since 2×106460900² = 22667846457620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 106460900.

It is not an unprimeable number, because it can be changed into a prime (106460909) 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, 3251 + ... + 14949.

It is an arithmetic number, because the mean of its divisors is an integer number (3949400).

Almost surely, 2^106460900 is an apocalyptic number.

106460900 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 106460900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142178400).

106460900 is an abundant number, since it is smaller than the sum of its proper divisors (177895900).

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

106460900 is a wasteful number, since it uses less digits than its factorization.

106460900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11733 (or 11726 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 106460900 is about 10317.9891451775. The cubic root of 106460900 is about 473.9472900968.

The spelling of 106460900 in words is "one hundred six million, four hundred sixty thousand, nine hundred".