10106667284 has 36 divisors (see below), whose sum is σ = 20599436340. Its totient is φ = 4326134400.

The previous prime is 10106667257. The next prime is 10106667293. The reversal of 10106667284 is 48276660101.

It can be written as a sum of positive squares in 2 ways, for example, as 2996467600 + 7110199684 = 54740^2 + 84322^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131384 + ... + 193584.

It is an arithmetic number, because the mean of its divisors is an integer number (572206565).

Almost surely, 2^10106667284 is an apocalyptic number.

10106667284 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10106667284 is an abundant number, since it is smaller than the sum of its proper divisors (10492769056).

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

10106667284 is a wasteful number, since it uses less digits than its factorization.

10106667284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63048 (or 63039 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The spelling of 10106667284 in words is "ten billion, one hundred six million, six hundred sixty-seven thousand, two hundred eighty-four".