105606115000 has 40 divisors (see below), whose sum is σ = 247435139160. Its totient is φ = 42242444000.

The previous prime is 105606114989. The next prime is 105606115117. The reversal of 105606115000 is 511606501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×105606115000³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10555612 + ... + 10565611.

It is an arithmetic number, because the mean of its divisors is an integer number (6185878479).

Almost surely, 2^105606115000 is an apocalyptic number.

105606115000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105606115000 is an abundant number, since it is smaller than the sum of its proper divisors (141829024160).

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

105606115000 is an equidigital number, since it uses as much as digits as its factorization.

105606115000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21121249 (or 21121230 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 105606115000 in words is "one hundred five billion, six hundred six million, one hundred fifteen thousand".