103416072192000 has 1440 divisors, whose sum is σ = 407033896913280. Its totient is φ = 26123776819200.

The previous prime is 103416072191989. The next prime is 103416072192091. The reversal of 103416072192000 is 291270614301.

103416072192000 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 1 + 607 + 21 + 9 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9455610532 + ... + 9455621468.

It is an arithmetic number, because the mean of its divisors is an integer number (282662428412).

Almost surely, 2^{103416072192000} is an apocalyptic number.

103416072192000 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 103416072192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203516948456640).

103416072192000 is an abundant number, since it is smaller than the sum of its proper divisors (303617824721280).

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

103416072192000 is an frugal number, since it uses more digits than its factorization.

103416072192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11014 (or 10966 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 103416072192000 in words is "one hundred three trillion, four hundred sixteen billion, seventy-two million, one hundred ninety-two thousand".