106550400 has 192 divisors, whose sum is σ = 383234400. Its totient is φ = 25804800.

The previous prime is 106550399. The next prime is 106550413. The reversal of 106550400 is 4055601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×106550400² = 22705975480320000, which contains 22 as substring.

It is an unprimeable number.

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, 105096 + ... + 106104.

Almost surely, 2^106550400 is an apocalyptic number.

106550400 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 106550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191617200).

106550400 is an abundant number, since it is smaller than the sum of its proper divisors (276684000).

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

106550400 is a wasteful number, since it uses less digits than its factorization.

106550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 106550400 is about 10322.3253194229. The cubic root of 106550400 is about 474.0800662341.

The spelling of 106550400 in words is "one hundred six million, five hundred fifty thousand, four hundred".