103149148032 has 960 divisors, whose sum is σ = 385212579840. Its totient is φ = 26806671360.

The previous prime is 103149148027. The next prime is 103149148033. The reversal of 103149148032 is 230841941301.

103149148032 is a `hidden beast` number, since 1 + 0 + 3 + 149 + 1 + 480 + 32 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (103149148033) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 812197953 + ... + 812198079.

It is an arithmetic number, because the mean of its divisors is an integer number (401263104).

Almost surely, 2^103149148032 is an apocalyptic number.

103149148032 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 103149148032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192606289920).

103149148032 is an abundant number, since it is smaller than the sum of its proper divisors (282063431808).

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

103149148032 is a wasteful number, since it uses less digits than its factorization.

103149148032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 103149148032 in words is "one hundred three billion, one hundred forty-nine million, one hundred forty-eight thousand, thirty-two".