105903264000 has 288 divisors, whose sum is σ = 370277631360. Its totient is φ = 26754048000.

The previous prime is 105903263993. The next prime is 105903264007. The reversal of 105903264000 is 462309501.

It is an interprime number because it is at equal distance from previous prime (105903263993) and next prime (105903264007).

It is a super-2 number, since 2×105903264000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (105903264007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1794970 + ... + 1853030.

It is an arithmetic number, because the mean of its divisors is an integer number (1285686220).

Almost surely, 2^105903264000 is an apocalyptic number.

105903264000 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 105903264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185138815680).

105903264000 is an abundant number, since it is smaller than the sum of its proper divisors (264374367360).

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

105903264000 is an equidigital number, since it uses as much as digits as its factorization.

105903264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58114 (or 58090 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 105903264000 in words is "one hundred five billion, nine hundred three million, two hundred sixty-four thousand".