103190040 has 192 divisors, whose sum is σ = 352834560. Its totient is φ = 26127360.

The previous prime is 103190039. The next prime is 103190081. The reversal of 103190040 is 40091301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103189995 and 103190022.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 812457 + ... + 812583.

It is an arithmetic number, because the mean of its divisors is an integer number (1837680).

Almost surely, 2^103190040 is an apocalyptic number.

103190040 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 103190040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176417280).

103190040 is an abundant number, since it is smaller than the sum of its proper divisors (249644520).

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

103190040 is a wasteful number, since it uses less digits than its factorization.

103190040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 103190040 is about 10158.2498492605. The cubic root of 103190040 is about 469.0429294389.

The spelling of 103190040 in words is "one hundred three million, one hundred ninety thousand, forty".