106285519000 has 64 divisors (see below), whose sum is σ = 251272344960. Its totient is φ = 42075878400.

The previous prime is 106285518979. The next prime is 106285519027. The reversal of 106285519000 is 915582601.

It is a super-2 number, since 2×106285519000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 450864 + ... + 644863.

It is an arithmetic number, because the mean of its divisors is an integer number (3926130390).

Almost surely, 2^106285519000 is an apocalyptic number.

106285519000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106285519000 is an abundant number, since it is smaller than the sum of its proper divisors (144986825960).

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

106285519000 is a wasteful number, since it uses less digits than its factorization.

106285519000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095845 (or 1095831 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 37.

The spelling of 106285519000 in words is "one hundred six billion, two hundred eighty-five million, five hundred nineteen thousand".