103252095432672 has 288 divisors, whose sum is σ = 284437406840832. Its totient is φ = 32771090377728.

The previous prime is 103252095432623. The next prime is 103252095432727. The reversal of 103252095432672 is 276234590252301.

It is a super-2 number, since 2×103252095432672² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2757267453 + ... + 2757304899.

It is an arithmetic number, because the mean of its divisors is an integer number (987629884864).

Almost surely, 2^{103252095432672} is an apocalyptic number.

103252095432672 is a gapful number since it is divisible by the number (12) 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 103252095432672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142218703420416).

103252095432672 is an abundant number, since it is smaller than the sum of its proper divisors (181185311408160).

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

103252095432672 is a wasteful number, since it uses less digits than its factorization.

103252095432672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37838 (or 37771 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 51.

The spelling of 103252095432672 in words is "one hundred three trillion, two hundred fifty-two billion, ninety-five million, four hundred thirty-two thousand, six hundred seventy-two".