106015050500 has 72 divisors (see below), whose sum is σ = 244364813784. Its totient is φ = 40174056000.

The previous prime is 106015050473. The next prime is 106015050539. The reversal of 106015050500 is 5050510601.

It can be written as a sum of positive squares in 4 ways, for example, as 1514143744 + 104500906756 = 38912^2 + 323266^2 .

It is a super-2 number, since 2×106015050500² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113171 + ... + 474170.

It is an arithmetic number, because the mean of its divisors is an integer number (3393955747).

Almost surely, 2^106015050500 is an apocalyptic number.

106015050500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106015050500 is an abundant number, since it is smaller than the sum of its proper divisors (138349763284).

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

106015050500 is a wasteful number, since it uses less digits than its factorization.

106015050500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587398 (or 587367 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 106015050500 in words is "one hundred six billion, fifteen million, fifty thousand, five hundred".