110051400 has 96 divisors (see below), whose sum is σ = 343728000. Its totient is φ = 29126400.

The previous prime is 110051377. The next prime is 110051411. The reversal of 110051400 is 4150011.

It is a happy number.

It is a super-2 number, since 2×110051400² = 24222621283920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88785 + ... + 90015.

It is an arithmetic number, because the mean of its divisors is an integer number (3580500).

Almost surely, 2^110051400 is an apocalyptic number.

110051400 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 110051400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171864000).

110051400 is an abundant number, since it is smaller than the sum of its proper divisors (233676600).

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

110051400 is a wasteful number, since it uses less digits than its factorization.

110051400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 110051400 is about 10490.5385943716. The cubic root of 110051400 is about 479.2166040792.

The spelling of 110051400 in words is "one hundred ten million, fifty-one thousand, four hundred".