103290690048 has 480 divisors, whose sum is σ = 359908881024. Its totient is φ = 25629032448.

The previous prime is 103290690029. The next prime is 103290690049. The reversal of 103290690048 is 840096092301.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 103290689991 and 103290690009.

It is not an unprimeable number, because it can be changed into a prime (103290690049) 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 47 ways as a sum of consecutive naturals, for example, 40393986 + ... + 40396542.

Almost surely, 2^103290690048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103290690048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179954440512).

103290690048 is an abundant number, since it is smaller than the sum of its proper divisors (256618190976).

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

103290690048 is a wasteful number, since it uses less digits than its factorization.

103290690048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 103290690048 in words is "one hundred three billion, two hundred ninety million, six hundred ninety thousand, forty-eight".