103201992 has 64 divisors (see below), whose sum is σ = 288489600. Its totient is φ = 34182720.

The previous prime is 103201937. The next prime is 103201993. The reversal of 103201992 is 299102301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (103201993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34642 + ... + 37502.

It is an arithmetic number, because the mean of its divisors is an integer number (4507650).

Almost surely, 2^103201992 is an apocalyptic number.

103201992 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 103201992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144244800).

103201992 is an abundant number, since it is smaller than the sum of its proper divisors (185287608).

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

103201992 is a wasteful number, since it uses less digits than its factorization.

103201992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3043 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 103201992 is about 10158.8381225414. The cubic root of 103201992 is about 469.0610377262.

The spelling of 103201992 in words is "one hundred three million, two hundred one thousand, nine hundred ninety-two".