103242276000 has 960 divisors, whose sum is σ = 412505533440. Its totient is φ = 25194240000.

The previous prime is 103242275977. The next prime is 103242276023. The reversal of 103242276000 is 672242301.

103242276000 is a `hidden beast` number, since 1 + 0 + 32 + 4 + 2 + 27 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (103242275977) and next prime (103242276023).

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

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 190835730 + ... + 190836270.

It is an arithmetic number, because the mean of its divisors is an integer number (429693264).

Almost surely, 2^103242276000 is an apocalyptic number.

103242276000 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 103242276000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206252766720).

103242276000 is an abundant number, since it is smaller than the sum of its proper divisors (309263257440).

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

103242276000 is a wasteful number, since it uses less digits than its factorization.

103242276000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 103242276000 in words is "one hundred three billion, two hundred forty-two million, two hundred seventy-six thousand".