103093574112 has 144 divisors (see below), whose sum is σ = 298952428320. Its totient is φ = 33690700800.

The previous prime is 103093574083. The next prime is 103093574117. The reversal of 103093574112 is 211475390301.

103093574112 is a `hidden beast` number, since 103 + 0 + 93 + 57 + 411 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103093574117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5454214 + ... + 5473082.

It is an arithmetic number, because the mean of its divisors is an integer number (2076058530).

Almost surely, 2^103093574112 is an apocalyptic number.

103093574112 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 103093574112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149476214160).

103093574112 is an abundant number, since it is smaller than the sum of its proper divisors (195858854208).

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

103093574112 is a wasteful number, since it uses less digits than its factorization.

103093574112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19257 (or 19246 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 103093574112 in words is "one hundred three billion, ninety-three million, five hundred seventy-four thousand, one hundred twelve".