103454152000000 has 280 divisors, whose sum is σ = 264682277257860. Its totient is φ = 40372224000000.

The previous prime is 103454151999973. The next prime is 103454152000007. The reversal of 103454152000000 is 251454301.

It is a happy number.

It can be written as a sum of positive squares in 14 ways, for example, as 100141810239744 + 3312341760256 = 10007088^2 + 1819984^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (103454152000007) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 327842296 + ... + 328157704.

Almost surely, 2^{103454152000000} is an apocalyptic number.

103454152000000 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 103454152000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132341138628930).

103454152000000 is an abundant number, since it is smaller than the sum of its proper divisors (161228125257860).

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

103454152000000 is an frugal number, since it uses more digits than its factorization.

103454152000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315498 (or 315457 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 103454152000000 in words is "one hundred three trillion, four hundred fifty-four billion, one hundred fifty-two million", and thus it is an aban number.