10306441152 has 84 divisors (see below), whose sum is σ = 33761787696. Its totient is φ = 2944696320.

The previous prime is 10306441147. The next prime is 10306441157. The reversal of 10306441152 is 25114460301.

It is a happy number.

10306441152 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 644 + 1 + 15 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10306441147) and next prime (10306441157).

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10306441157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1274049 + ... + 1282112.

It is an arithmetic number, because the mean of its divisors is an integer number (401926044).

Almost surely, 2^10306441152 is an apocalyptic number.

10306441152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10306441152 is an abundant number, since it is smaller than the sum of its proper divisors (23455346544).

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

10306441152 is a wasteful number, since it uses less digits than its factorization.

10306441152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556186 (or 2556173 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10306441152 in words is "ten billion, three hundred six million, four hundred forty-one thousand, one hundred fifty-two".