107523000648 has 192 divisors, whose sum is σ = 341040960000. Its totient is φ = 30590638848.

The previous prime is 107523000619. The next prime is 107523000659. The reversal of 107523000648 is 846000325701.

107523000648 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 2 + 3 + 0 + 0 + 0 + 648 = 666.

It is a Cunningham number, because it is equal to 327907²-1.

It is a super-2 number, since 2×107523000648² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5893236 + ... + 5911452.

It is an arithmetic number, because the mean of its divisors is an integer number (1776255000).

Almost surely, 2^107523000648 is an apocalyptic number.

107523000648 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 107523000648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170520480000).

107523000648 is an abundant number, since it is smaller than the sum of its proper divisors (233517959352).

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

107523000648 is a wasteful number, since it uses less digits than its factorization.

107523000648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18489 (or 18468 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 107523000648 in words is "one hundred seven billion, five hundred twenty-three million, six hundred forty-eight", and thus it is an aban number.