10851400 has 96 divisors (see below), whose sum is σ = 30176640. Its totient is φ = 3548160.

The previous prime is 10851383. The next prime is 10851409. The reversal of 10851400 is 415801.

It is a super-3 number, since 3×10851400³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10851409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32032 + ... + 32368.

It is an arithmetic number, because the mean of its divisors is an integer number (314340).

Almost surely, 2^10851400 is an apocalyptic number.

10851400 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 10851400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15088320).

10851400 is an abundant number, since it is smaller than the sum of its proper divisors (19325240).

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

10851400 is a wasteful number, since it uses less digits than its factorization.

10851400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 10851400 is about 3294.1463234046. The cubic root of 10851400 is about 221.3920003028.

It can be divided in two parts, 1085 and 1400, that added together give a triangular number (2485 = T₇₀).

The spelling of 10851400 in words is "ten million, eight hundred fifty-one thousand, four hundred".