1006134421620 has 48 divisors (see below), whose sum is σ = 2817500511168. Its totient is φ = 268271642880.

The previous prime is 1006134421577. The next prime is 1006134421661. The reversal of 1006134421620 is 261244316001.

It is a super-2 number, since 2×1006134421620² (a number of 25 digits) contains 22 as substring.

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

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, 436449 + ... + 1484168.

It is an arithmetic number, because the mean of its divisors is an integer number (58697927316).

Almost surely, 2^{1006134421620} is an apocalyptic number.

1006134421620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006134421620 is an abundant number, since it is smaller than the sum of its proper divisors (1811366089548).

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

1006134421620 is a wasteful number, since it uses less digits than its factorization.

1006134421620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929360 (or 1929358 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 1006134421620 its reverse (261244316001), we get a palindrome (1267378737621).

The spelling of 1006134421620 in words is "one trillion, six billion, one hundred thirty-four million, four hundred twenty-one thousand, six hundred twenty".