10214277164 has 72 divisors (see below), whose sum is σ = 22431856608. Its totient is φ = 4033774080.

The previous prime is 10214277163. The next prime is 10214277167. The reversal of 10214277164 is 46177241201.

It is not an unprimeable number, because it can be changed into a prime (10214277163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1604612 + ... + 1610964.

It is an arithmetic number, because the mean of its divisors is an integer number (311553564).

Almost surely, 2^10214277164 is an apocalyptic number.

10214277164 is a gapful number since it is divisible by the number (14) 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 10214277164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11215928304).

10214277164 is an abundant number, since it is smaller than the sum of its proper divisors (12217579444).

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

10214277164 is a wasteful number, since it uses less digits than its factorization.

10214277164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7015 (or 7006 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The spelling of 10214277164 in words is "ten billion, two hundred fourteen million, two hundred seventy-seven thousand, one hundred sixty-four".