107523000660 has 192 divisors, whose sum is σ = 311525222400. Its totient is φ = 27696345600.

The previous prime is 107523000659. The next prime is 107523000661. The reversal of 107523000660 is 66000325701.

107523000660 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (107523000659) and next prime (107523000661).

It is a super-2 number, since 2×107523000660² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107523000661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105310950 + ... + 105311970.

It is an arithmetic number, because the mean of its divisors is an integer number (1622527200).

Almost surely, 2^107523000660 is an apocalyptic number.

107523000660 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 107523000660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155762611200).

107523000660 is an abundant number, since it is smaller than the sum of its proper divisors (204002221740).

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

107523000660 is a wasteful number, since it uses less digits than its factorization.

107523000660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 107523000660 in words is "one hundred seven billion, five hundred twenty-three million, six hundred sixty", and thus it is an aban number.