106442400 has 72 divisors (see below), whose sum is σ = 346477824. Its totient is φ = 28384000.

The previous prime is 106442387. The next prime is 106442407. The reversal of 106442400 is 4244601.

It is a super-2 number, since 2×106442400² = 22659969035520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106442407) 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 11 ways as a sum of consecutive naturals, for example, 19776 + ... + 24575.

It is an arithmetic number, because the mean of its divisors is an integer number (4812192).

Almost surely, 2^106442400 is an apocalyptic number.

106442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106442400 is an abundant number, since it is smaller than the sum of its proper divisors (240035424).

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

106442400 is a wasteful number, since it uses less digits than its factorization.

106442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44374 (or 44361 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 106442400 is about 10317.0926137163. The cubic root of 106442400 is about 473.9198354701.

The spelling of 106442400 in words is "one hundred six million, four hundred forty-two thousand, four hundred".