10105885225601 has 4 divisors (see below), whose sum is σ = 11024602064304. Its totient is φ = 9187168386900.

The previous prime is 10105885225547. The next prime is 10105885225603. The reversal of 10105885225601 is 10652258850101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10105885225601 is a prime.

It is a super-2 number, since 2×10105885225601² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10105885225603) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 459358419335 + ... + 459358419356.

It is an arithmetic number, because the mean of its divisors is an integer number (2756150516076).

Almost surely, 2^{10105885225601} is an apocalyptic number.

10105885225601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10105885225601 is a deficient number, since it is larger than the sum of its proper divisors (918716838703).

10105885225601 is an equidigital number, since it uses as much as digits as its factorization.

10105885225601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918716838702.

The product of its (nonzero) digits is 192000, while the sum is 44.

The spelling of 10105885225601 in words is "ten trillion, one hundred five billion, eight hundred eighty-five million, two hundred twenty-five thousand, six hundred one".