106086400 has 180 divisors, whose sum is σ = 308796208. Its totient is φ = 35389440.

The previous prime is 106086391. The next prime is 106086401. The reversal of 106086400 is 4680601.

It is a super-2 number, since 2×106086400² = 22508648529920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (106086401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2867182 + ... + 2867218.

Almost surely, 2^106086400 is an apocalyptic number.

106086400 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 106086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154398104).

106086400 is an abundant number, since it is smaller than the sum of its proper divisors (202709808).

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

106086400 is an frugal number, since it uses more digits than its factorization.

106086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 106086400 is about 10299.8252412359. The cubic root of 106086400 is about 473.3908986833.

The spelling of 106086400 in words is "one hundred six million, eighty-six thousand, four hundred".