107185148928 has 264 divisors, whose sum is σ = 363606743136. Its totient is φ = 29981491200.

The previous prime is 107185148927. The next prime is 107185149017. The reversal of 107185148928 is 829841581701.

107185148928 is a `hidden beast` number, since 10 + 7 + 18 + 514 + 89 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×107185148928² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107185148927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1277223 + ... + 1358553.

Almost surely, 2^107185148928 is an apocalyptic number.

107185148928 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 107185148928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181803371568).

107185148928 is an abundant number, since it is smaller than the sum of its proper divisors (256421594208).

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

107185148928 is a wasteful number, since it uses less digits than its factorization.

107185148928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81381 (or 81360 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 54.

The spelling of 107185148928 in words is "one hundred seven billion, one hundred eighty-five million, one hundred forty-eight thousand, nine hundred twenty-eight".