103150082112 has 224 divisors, whose sum is σ = 342033782784. Its totient is φ = 26652672000.

The previous prime is 103150082111. The next prime is 103150082131. The reversal of 103150082112 is 211280051301.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (103150082111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2835237 + ... + 2871387.

Almost surely, 2^103150082112 is an apocalyptic number.

103150082112 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 103150082112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171016891392).

103150082112 is an abundant number, since it is smaller than the sum of its proper divisors (238883700672).

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

103150082112 is a wasteful number, since it uses less digits than its factorization.

103150082112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36377 (or 36367 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The spelling of 103150082112 in words is "one hundred three billion, one hundred fifty million, eighty-two thousand, one hundred twelve".