103270661088 has 288 divisors, whose sum is σ = 342658391040. Its totient is φ = 27050526720.

The previous prime is 103270661071. The next prime is 103270661111. The reversal of 103270661088 is 880166072301.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2752020 + ... + 2789292.

It is an arithmetic number, because the mean of its divisors is an integer number (1189786080).

Almost surely, 2^103270661088 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 103270661088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171329195520).

103270661088 is an abundant number, since it is smaller than the sum of its proper divisors (239387729952).

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

103270661088 is a wasteful number, since it uses less digits than its factorization.

103270661088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37350 (or 37335 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 103270661088 in words is "one hundred three billion, two hundred seventy million, six hundred sixty-one thousand, eighty-eight".