109132431408 has 840 divisors, whose sum is σ = 428584711680. Its totient is φ = 26129226240.

The previous prime is 109132431389. The next prime is 109132431437. The reversal of 109132431408 is 804134231901.

109132431408 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 3 + 243 + 1 + 408 = 666.

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 167 ways as a sum of consecutive naturals, for example, 151783273 + ... + 151783991.

Almost surely, 2^109132431408 is an apocalyptic number.

109132431408 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 109132431408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214292355840).

109132431408 is an abundant number, since it is smaller than the sum of its proper divisors (319452280272).

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

109132431408 is a wasteful number, since it uses less digits than its factorization.

109132431408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 109132431408 in words is "one hundred nine billion, one hundred thirty-two million, four hundred thirty-one thousand, four hundred eight".