10607321088 has 896 divisors, whose sum is σ = 42276003840. Its totient is φ = 2548039680.

The previous prime is 10607321069. The next prime is 10607321107. The reversal of 10607321088 is 88012370601.

10607321088 is a `hidden beast` number, since 1 + 0 + 607 + 32 + 10 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (10607321069) and next prime (10607321107).

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×10607321088² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 342171633 + ... + 342171663.

It is an arithmetic number, because the mean of its divisors is an integer number (47183040).

Almost surely, 2^10607321088 is an apocalyptic number.

10607321088 is a gapful number since it is divisible by the number (18) 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 10607321088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21138001920).

10607321088 is an abundant number, since it is smaller than the sum of its proper divisors (31668682752).

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

10607321088 is a wasteful number, since it uses less digits than its factorization.

10607321088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 10607321088 its reverse (88012370601), we get a palindrome (98619691689).

The spelling of 10607321088 in words is "ten billion, six hundred seven million, three hundred twenty-one thousand, eighty-eight".