103693920 has 192 divisors, whose sum is σ = 365783040. Its totient is φ = 24473600.

The previous prime is 103693901. The next prime is 103693927. The reversal of 103693920 is 29396301.

103693920 = T₄₄₀ + T₄₄₁ + ... + T₈₉₀.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103693927) 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 31 ways as a sum of consecutive naturals, for example, 216241 + ... + 216719.

It is an arithmetic number, because the mean of its divisors is an integer number (1905120).

Almost surely, 2^103693920 is an apocalyptic number.

103693920 is a gapful number since it is divisible by the number (10) 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 103693920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182891520).

103693920 is an abundant number, since it is smaller than the sum of its proper divisors (262089120).

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

103693920 is a wasteful number, since it uses less digits than its factorization.

103693920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 103693920 is about 10183.0211627002. The cubic root of 103693920 is about 469.8051402886.

The spelling of 103693920 in words is "one hundred three million, six hundred ninety-three thousand, nine hundred twenty".