103268354112 has 840 divisors, whose sum is σ = 398297887680. Its totient is φ = 25866086400.

The previous prime is 103268354107. The next prime is 103268354129. The reversal of 103268354112 is 211453862301.

103268354112 is a `hidden beast` number, since 1 + 0 + 3 + 26 + 83 + 541 + 12 = 666.

It is a super-2 number, since 2×103268354112² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 127334187 + ... + 127334997.

It is an arithmetic number, because the mean of its divisors is an integer number (474164152).

Almost surely, 2^103268354112 is an apocalyptic number.

103268354112 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 103268354112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199148943840).

103268354112 is an abundant number, since it is smaller than the sum of its proper divisors (295029533568).

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

103268354112 is a wasteful number, since it uses less digits than its factorization.

103268354112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 103268354112 in words is "one hundred three billion, two hundred sixty-eight million, three hundred fifty-four thousand, one hundred twelve".