106490800 has 60 divisors (see below), whose sum is σ = 275537920. Its totient is φ = 39317760.

The previous prime is 106490789. The next prime is 106490803. The reversal of 106490800 is 8094601.

It is a super-2 number, since 2×106490800² = 22680580969280000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106490803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5040 + ... + 15439.

Almost surely, 2^106490800 is an apocalyptic number.

106490800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106490800 is an abundant number, since it is smaller than the sum of its proper divisors (169047120).

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

106490800 is a wasteful number, since it uses less digits than its factorization.

106490800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20510 (or 20499 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 106490800 is about 10319.4379691919. The cubic root of 106490800 is about 473.9916559861.

The spelling of 106490800 in words is "one hundred six million, four hundred ninety thousand, eight hundred".