1006460010600 has 192 divisors, whose sum is σ = 3437366690880. Its totient is φ = 241574400000.

The previous prime is 1006460010581. The next prime is 1006460010683. The reversal of 1006460010600 is 60100646001.

It is a super-2 number, since 2×1006460010600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88321 + ... + 1421520.

It is an arithmetic number, because the mean of its divisors is an integer number (17902951515).

Almost surely, 2^{1006460010600} is an apocalyptic number.

1006460010600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006460010600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718683345440).

1006460010600 is an abundant number, since it is smaller than the sum of its proper divisors (2430906680280).

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

1006460010600 is a wasteful number, since it uses less digits than its factorization.

1006460010600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509972 (or 1509963 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1006460010600 its reverse (60100646001), we get a palindrome (1066560656601).

The spelling of 1006460010600 in words is "one trillion, six billion, four hundred sixty million, ten thousand, six hundred".