103466070000 has 600 divisors, whose sum is σ = 373914684000. Its totient is φ = 26687232000.

The previous prime is 103466069981. The next prime is 103466070007. The reversal of 103466070000 is 70664301.

103466070000 is a `hidden beast` number, since 10 + 3 + 46 + 607 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103466070007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 519929901 + ... + 519930099.

It is an arithmetic number, because the mean of its divisors is an integer number (623191140).

Almost surely, 2^103466070000 is an apocalyptic number.

103466070000 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 103466070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186957342000).

103466070000 is an abundant number, since it is smaller than the sum of its proper divisors (270448614000).

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

103466070000 is a wasteful number, since it uses less digits than its factorization.

103466070000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 103466070000 in words is "one hundred three billion, four hundred sixty-six million, seventy thousand".