103292000160 has 192 divisors, whose sum is σ = 334669708800. Its totient is φ = 26759503872.

The previous prime is 103292000137. The next prime is 103292000173. The reversal of 103292000160 is 61000292301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 103292000160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12765396 + ... + 12773484.

It is an arithmetic number, because the mean of its divisors is an integer number (1743071400).

Almost surely, 2^103292000160 is an apocalyptic number.

103292000160 is a gapful number since it is divisible by the number (10) 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 103292000160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167334854400).

103292000160 is an abundant number, since it is smaller than the sum of its proper divisors (231377708640).

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

103292000160 is a wasteful number, since it uses less digits than its factorization.

103292000160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8863 (or 8855 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 103292000160 its reverse (61000292301), we get a palindrome (164292292461).

The spelling of 103292000160 in words is "one hundred three billion, two hundred ninety-two million, one hundred sixty", and thus it is an aban number.