103193021952 has 160 divisors (see below), whose sum is σ = 307795656960. Its totient is φ = 34134497280.

The previous prime is 103193021951. The next prime is 103193021959. The reversal of 103193021952 is 259120391301.

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 (103193021951) 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 15 ways as a sum of consecutive naturals, for example, 1782453 + ... + 1839435.

It is an arithmetic number, because the mean of its divisors is an integer number (1923722856).

Almost surely, 2^103193021952 is an apocalyptic number.

103193021952 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 103193021952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153897828480).

103193021952 is an abundant number, since it is smaller than the sum of its proper divisors (204602635008).

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

103193021952 is an equidigital number, since it uses as much as digits as its factorization.

103193021952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57141 (or 57119 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 103193021952 in words is "one hundred three billion, one hundred ninety-three million, twenty-one thousand, nine hundred fifty-two".