1057221156105 has 32 divisors (see below), whose sum is σ = 1879721251200. Its totient is φ = 563786191296.

The previous prime is 1057221156077. The next prime is 1057221156113. The reversal of 1057221156105 is 5016511227501.

1057221156105 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 2 + 21 + 15 + 610 + 5 = 666.

1057221156105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1057221156105 - 2¹⁴ = 1057221139721 is a prime.

It is a super-2 number, since 2×1057221156105² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1057221156105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 733191 + ... + 1628499.

It is an arithmetic number, because the mean of its divisors is an integer number (58741289100).

Almost surely, 2^{1057221156105} is an apocalyptic number.

1057221156105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1057221156105 is a deficient number, since it is larger than the sum of its proper divisors (822500095095).

1057221156105 is an equidigital number, since it uses as much as digits as its factorization.

1057221156105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904070 (or 904064 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 36.

The spelling of 1057221156105 in words is "one trillion, fifty-seven billion, two hundred twenty-one million, one hundred fifty-six thousand, one hundred five".