108764040 has 256 divisors, whose sum is σ = 414720000. Its totient is φ = 22164480.

The previous prime is 108764017. The next prime is 108764059. The reversal of 108764040 is 40467801.

It is a Cunningham number, because it is equal to 10429²-1.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 108763989 and 108764007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 729886 + ... + 730034.

It is an arithmetic number, because the mean of its divisors is an integer number (1620000).

Almost surely, 2^108764040 is an apocalyptic number.

108764040 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 108764040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207360000).

108764040 is an abundant number, since it is smaller than the sum of its proper divisors (305955960).

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

108764040 is a wasteful number, since it uses less digits than its factorization.

108764040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 108764040 is about 10428.9999520568. Note that the first 4 decimals coincide. The cubic root of 108764040 is about 477.3406758092.

The spelling of 108764040 in words is "one hundred eight million, seven hundred sixty-four thousand, forty".