106202880 has 288 divisors, whose sum is σ = 431692800. Its totient is φ = 24219648.

The previous prime is 106202857. The next prime is 106202881. The reversal of 106202880 is 88202601.

106202880 is a `hidden beast` number, since 10 + 620 + 28 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×106202880² = 22558103440588800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106202881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241701 + ... + 242139.

Almost surely, 2^106202880 is an apocalyptic number.

106202880 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 106202880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215846400).

106202880 is an abundant number, since it is smaller than the sum of its proper divisors (325489920).

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

106202880 is an equidigital number, since it uses as much as digits as its factorization.

106202880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 106202880 is about 10305.4781548456. The cubic root of 106202880 is about 473.5640921156.

The spelling of 106202880 in words is "one hundred six million, two hundred two thousand, eight hundred eighty".