10105485954252 has 96 divisors (see below), whose sum is σ = 25416453350400. Its totient is φ = 3106543249152.

The previous prime is 10105485954251. The next prime is 10105485954253. The reversal of 10105485954252 is 25245958450101.

10105485954252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10105485954251) and next prime (10105485954253).

It is a junction number, because it is equal to n+sod(n) for n = 10105485954195 and 10105485954204.

It is not an unprimeable number, because it can be changed into a prime (10105485954251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1066087249 + ... + 1066096727.

It is an arithmetic number, because the mean of its divisors is an integer number (264754722400).

Almost surely, 2^{10105485954252} is an apocalyptic number.

10105485954252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10105485954252 is an abundant number, since it is smaller than the sum of its proper divisors (15310967396148).

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

10105485954252 is a wasteful number, since it uses less digits than its factorization.

10105485954252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15015 (or 15013 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 51.

The spelling of 10105485954252 in words is "ten trillion, one hundred five billion, four hundred eighty-five million, nine hundred fifty-four thousand, two hundred fifty-two".