103120976452320 has 1728 divisors, whose sum is σ = 392664100308480. Its totient is φ = 25515033219072.

The previous prime is 103120976452297. The next prime is 103120976452327. The reversal of 103120976452320 is 23254679021301.

It is a happy number.

103120976452320 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 209 + 76 + 4 + 52 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103120976452327) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 276463743654 + ... + 276463744026.

It is an arithmetic number, because the mean of its divisors is an integer number (227236169160).

Almost surely, 2^{103120976452320} is an apocalyptic number.

103120976452320 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 103120976452320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196332050154240).

103120976452320 is an abundant number, since it is smaller than the sum of its proper divisors (289543123856160).

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

103120976452320 is an equidigital number, since it uses as much as digits as its factorization.

103120976452320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 103120976452320 in words is "one hundred three trillion, one hundred twenty billion, nine hundred seventy-six million, four hundred fifty-two thousand, three hundred twenty".