103081967604 has 672 divisors, whose sum is σ = 360901954560. Its totient is φ = 24942297600.

The previous prime is 103081967539. The next prime is 103081967621. The reversal of 103081967604 is 406769180301.

It is a happy number.

103081967604 is a `hidden beast` number, since 1 + 0 + 30 + 8 + 1 + 9 + 6 + 7 + 604 = 666.

It is a super-2 number, since 2×103081967604² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103081967604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 311425719 + ... + 311426049.

It is an arithmetic number, because the mean of its divisors is an integer number (537056480).

Almost surely, 2^103081967604 is an apocalyptic number.

103081967604 is a gapful number since it is divisible by the number (14) 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 103081967604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180450977280).

103081967604 is an abundant number, since it is smaller than the sum of its proper divisors (257819986956).

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

103081967604 is a wasteful number, since it uses less digits than its factorization.

103081967604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 103081967604 in words is "one hundred three billion, eighty-one million, nine hundred sixty-seven thousand, six hundred four".