103928190912 has 672 divisors, whose sum is σ = 385276953600. Its totient is φ = 27229353984.

The previous prime is 103928190911. The next prime is 103928190937. The reversal of 103928190912 is 219091829301.

103928190912 is a `hidden beast` number, since 10 + 392 + 81 + 90 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×103928190912² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103928190911) 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, 289493389 + ... + 289493747.

It is an arithmetic number, because the mean of its divisors is an integer number (573328800).

Almost surely, 2^103928190912 is an apocalyptic number.

103928190912 is a gapful number since it is divisible by the number (12) 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 103928190912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192638476800).

103928190912 is an abundant number, since it is smaller than the sum of its proper divisors (281348762688).

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

103928190912 is a wasteful number, since it uses less digits than its factorization.

103928190912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 103928190912 in words is "one hundred three billion, nine hundred twenty-eight million, one hundred ninety thousand, nine hundred twelve".