103235010390720 has 2240 divisors, whose sum is σ = 422719114245120. Its totient is φ = 23721254092800.

The previous prime is 103235010390713. The next prime is 103235010390751. The reversal of 103235010390720 is 27093010532301.

It is a happy number.

103235010390720 is a `hidden beast` number, since 1 + 0 + 3 + 235 + 0 + 10 + 390 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 65712927535 + ... + 65712929105.

It is an arithmetic number, because the mean of its divisors is an integer number (188713890288).

Almost surely, 2^{103235010390720} is an apocalyptic number.

103235010390720 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 103235010390720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211359557122560).

103235010390720 is an abundant number, since it is smaller than the sum of its proper divisors (319484103854400).

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

103235010390720 is a wasteful number, since it uses less digits than its factorization.

103235010390720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 103235010390720 in words is "one hundred three trillion, two hundred thirty-five billion, ten million, three hundred ninety thousand, seven hundred twenty".