103465152000 has 960 divisors, whose sum is σ = 433384833024. Its totient is φ = 23235379200.

The previous prime is 103465151963. The next prime is 103465152001. The reversal of 103465152000 is 251564301.

103465152000 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 651 + 5 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103465152001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 270143809 + ... + 270144191.

Almost surely, 2^103465152000 is an apocalyptic number.

103465152000 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 103465152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216692416512).

103465152000 is an abundant number, since it is smaller than the sum of its proper divisors (329919681024).

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

103465152000 is an equidigital number, since it uses as much as digits as its factorization.

103465152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 103465152000 its product of nonzero digits (3600), we get a square (103465155600 = 321660²).

The spelling of 103465152000 in words is "one hundred three billion, four hundred sixty-five million, one hundred fifty-two thousand".