106400 has 72 divisors (see below), whose sum is σ = 312480. Its totient is φ = 34560.

The previous prime is 106397. The next prime is 106411. The reversal of 106400 is 4601.

It is a super-2 number, since 2×106400² = 22641920000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5591 + ... + 5609.

It is an arithmetic number, because the mean of its divisors is an integer number (4340).

2¹⁰⁶⁴⁰⁰ is an apocalyptic number.

106400 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 106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240).

106400 is an abundant number, since it is smaller than the sum of its proper divisors (206080).

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

106400 is a wasteful number, since it uses less digits than its factorization.

106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 106400 is about 326.1901286060. The cubic root of 106400 is about 47.3856900431.

It can be divided in two parts, 10 and 6400, that multiplied together give a cube (64000 = 40³).

The spelling of 106400 in words is "one hundred six thousand, four hundred".