103662252000 has 288 divisors, whose sum is σ = 387262905120. Its totient is φ = 26188185600.

The previous prime is 103662251971. The next prime is 103662252007. The reversal of 103662252000 is 252266301.

103662252000 is a `hidden beast` number, since 1 + 0 + 36 + 622 + 5 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103662252007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 608224 + ... + 759776.

It is an arithmetic number, because the mean of its divisors is an integer number (1344662865).

Almost surely, 2^103662252000 is an apocalyptic number.

103662252000 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 103662252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193631452560).

103662252000 is an abundant number, since it is smaller than the sum of its proper divisors (283600653120).

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

103662252000 is a wasteful number, since it uses less digits than its factorization.

103662252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151603 (or 151582 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 103662252000 in words is "one hundred three billion, six hundred sixty-two million, two hundred fifty-two thousand".