1006103956480 has 176 divisors, whose sum is σ = 2793174405120. Its totient is φ = 340582514688.

The previous prime is 1006103956469. The next prime is 1006103956499. The reversal of 1006103956480 is 846593016001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2653689 + ... + 3009031.

It is an arithmetic number, because the mean of its divisors is an integer number (15870309120).

Almost surely, 2^{1006103956480} is an apocalyptic number.

1006103956480 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 1006103956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396587202560).

1006103956480 is an abundant number, since it is smaller than the sum of its proper divisors (1787070448640).

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

1006103956480 is an equidigital number, since it uses as much as digits as its factorization.

1006103956480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355454 (or 355436 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 1006103956480 in words is "one trillion, six billion, one hundred three million, nine hundred fifty-six thousand, four hundred eighty".