106486000 has 80 divisors (see below), whose sum is σ = 264625920. Its totient is φ = 41414400.

The previous prime is 106485991. The next prime is 106486019. The reversal of 106486000 is 684601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106486000² = 22678536392000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73281 + ... + 74719.

It is an arithmetic number, because the mean of its divisors is an integer number (3307824).

Almost surely, 2^106486000 is an apocalyptic number.

106486000 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 106486000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132312960).

106486000 is an abundant number, since it is smaller than the sum of its proper divisors (158139920).

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

106486000 is a wasteful number, since it uses less digits than its factorization.

106486000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 106486000 is about 10319.2053957657. The cubic root of 106486000 is about 473.9845342625.

The spelling of 106486000 in words is "one hundred six million, four hundred eighty-six thousand".