10605121401567 has 128 divisors (see below), whose sum is σ = 19029880995840. Its totient is φ = 5086769466240.

The previous prime is 10605121401521. The next prime is 10605121401571. The reversal of 10605121401567 is 76510412150601.

It is not a de Polignac number, because 10605121401567 - 2¹⁶ = 10605121336031 is a prime.

It is a super-2 number, since 2×10605121401567² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10605121401367) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 87319918 + ... + 87441284.

It is an arithmetic number, because the mean of its divisors is an integer number (148670945280).

Almost surely, 2^{10605121401567} is an apocalyptic number.

10605121401567 is a deficient number, since it is larger than the sum of its proper divisors (8424759594273).

10605121401567 is a wasteful number, since it uses less digits than its factorization.

10605121401567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121913.

The product of its (nonzero) digits is 50400, while the sum is 39.

The spelling of 10605121401567 in words is "ten trillion, six hundred five billion, one hundred twenty-one million, four hundred one thousand, five hundred sixty-seven".