109240252128 has 720 divisors, whose sum is σ = 396309158784. Its totient is φ = 28905984000.

The previous prime is 109240252109. The next prime is 109240252153. The reversal of 109240252128 is 821252042901.

109240252128 is a `hidden beast` number, since 1 + 0 + 92 + 40 + 2 + 521 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 109240252092 and 109240252101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 435220003 + ... + 435220253.

Almost surely, 2^109240252128 is an apocalyptic number.

109240252128 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 109240252128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198154579392).

109240252128 is an abundant number, since it is smaller than the sum of its proper divisors (287068906656).

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

109240252128 is a wasteful number, since it uses less digits than its factorization.

109240252128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 109240252128 in words is "one hundred nine billion, two hundred forty million, two hundred fifty-two thousand, one hundred twenty-eight".