109105251840 has 240 divisors, whose sum is σ = 406929611088. Its totient is φ = 26856603648.

The previous prime is 109105251833. The next prime is 109105251841. The reversal of 109105251840 is 48152501901.

109105251840 is a `hidden beast` number, since 1 + 0 + 91 + 0 + 52 + 518 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 109105251795 and 109105251804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109105251841) 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, 117387 + ... + 481653.

Almost surely, 2^109105251840 is an apocalyptic number.

109105251840 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 109105251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203464805544).

109105251840 is an abundant number, since it is smaller than the sum of its proper divisors (297824359248).

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

109105251840 is a wasteful number, since it uses less digits than its factorization.

109105251840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364309 (or 364290 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 109105251840 in words is "one hundred nine billion, one hundred five million, two hundred fifty-one thousand, eight hundred forty".