10106070268416 has 160 divisors (see below), whose sum is σ = 27512154109440. Its totient is φ = 3295787495424.

The previous prime is 10106070268403. The next prime is 10106070268421. The reversal of 10106070268416 is 61486207060101.

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, 12746455 + ... + 13516073.

It is an arithmetic number, because the mean of its divisors is an integer number (171950963184).

Almost surely, 2^{10106070268416} is an apocalyptic number.

10106070268416 is a gapful number since it is divisible by the number (16) 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 10106070268416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13756077054720).

10106070268416 is an abundant number, since it is smaller than the sum of its proper divisors (17406083841024).

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

10106070268416 is an equidigital number, since it uses as much as digits as its factorization.

10106070268416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769826 (or 769810 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 10106070268416 in words is "ten trillion, one hundred six billion, seventy million, two hundred sixty-eight thousand, four hundred sixteen".