110070400 has 192 divisors, whose sum is σ = 307346400. Its totient is φ = 38604800.

The previous prime is 110070397. The next prime is 110070403. The reversal of 110070400 is 4070011.

It is an interprime number because it is at equal distance from previous prime (110070397) and next prime (110070403).

It is not an unprimeable number, because it can be changed into a prime (110070403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1865571 + ... + 1865629.

Almost surely, 2^110070400 is an apocalyptic number.

110070400 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 110070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153673200).

110070400 is an abundant number, since it is smaller than the sum of its proper divisors (197276000).

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

110070400 is a wasteful number, since it uses less digits than its factorization.

110070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 110070400 is about 10491.4441331973. Note that the first 3 decimals coincide. The cubic root of 110070400 is about 479.2441808647.

It can be divided in two parts, 1100 and 70400, that multiplied together give a square (77440000 = 8800²).

The spelling of 110070400 in words is "one hundred ten million, seventy thousand, four hundred".