109516421952 has 1008 divisors, whose sum is σ = 410336634240. Its totient is φ = 28298170368.

The previous prime is 109516421941. The next prime is 109516421977. The reversal of 109516421952 is 259124615901.

109516421952 is a `hidden beast` number, since 1 + 0 + 9 + 516 + 42 + 1 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a junction number, because it is equal to n+sod(n) for n = 109516421898 and 109516421907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2066347558 + ... + 2066347610.

Almost surely, 2^109516421952 is an apocalyptic number.

109516421952 is a gapful number since it is divisible by the number (12) 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 109516421952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205168317120).

109516421952 is an abundant number, since it is smaller than the sum of its proper divisors (300820212288).

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

109516421952 is an frugal number, since it uses more digits than its factorization.

109516421952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 109516421952 in words is "one hundred nine billion, five hundred sixteen million, four hundred twenty-one thousand, nine hundred fifty-two".