108400248 has 128 divisors (see below), whose sum is σ = 336441600. Its totient is φ = 32054400.

The previous prime is 108400247. The next prime is 108400267. The reversal of 108400248 is 842004801.

108400248 is a `hidden beast` number, since 10 + 8 + 400 + 248 = 666.

It is a super-2 number, since 2×108400248² = 23501227532923008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108400247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101638 + ... + 102698.

It is an arithmetic number, because the mean of its divisors is an integer number (2628450).

Almost surely, 2^108400248 is an apocalyptic number.

108400248 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 108400248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168220800).

108400248 is an abundant number, since it is smaller than the sum of its proper divisors (228041352).

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

108400248 is a wasteful number, since it uses less digits than its factorization.

108400248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 108400248 is about 10411.5439777201. The cubic root of 108400248 is about 476.8078811776.

The spelling of 108400248 in words is "one hundred eight million, four hundred thousand, two hundred forty-eight".