1006615505100 has 72 divisors (see below), whose sum is σ = 2913189668928. Its totient is φ = 268364859200.

The previous prime is 1006615505099. The next prime is 1006615505171. The reversal of 1006615505100 is 15055166001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 817207 + ... + 1637393.

It is an arithmetic number, because the mean of its divisors is an integer number (40460967624).

Almost surely, 2^{1006615505100} is an apocalyptic number.

1006615505100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006615505100 is an abundant number, since it is smaller than the sum of its proper divisors (1906574163828).

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

1006615505100 is a wasteful number, since it uses less digits than its factorization.

1006615505100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824295 (or 824288 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 1006615505100 in words is "one trillion, six billion, six hundred fifteen million, five hundred five thousand, one hundred".