106160400 has 180 divisors, whose sum is σ = 378837732. Its totient is φ = 27509760.

The previous prime is 106160381. The next prime is 106160413. The reversal of 106160400 is 4061601.

106160400 is a `hidden beast` number, since 1 + 0 + 61 + 604 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 646416 + 105513984 = 804^2 + 10272^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×106160400² = 22540061056320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 132802 + ... + 133598.

Almost surely, 2^106160400 is an apocalyptic number.

106160400 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 106160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189418866).

106160400 is an abundant number, since it is smaller than the sum of its proper divisors (272677332).

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

106160400 is a wasteful number, since it uses less digits than its factorization.

106160400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106160400 is about 10303.4169089676. The cubic root of 106160400 is about 473.5009435286.

The spelling of 106160400 in words is "one hundred six million, one hundred sixty thousand, four hundred".