106346880 has 192 divisors, whose sum is σ = 377910000. Its totient is φ = 27537408.

The previous prime is 106346873. The next prime is 106346881. The reversal of 106346880 is 88643601.

It is a happy number.

106346880 is a `hidden beast` number, since 10 + 634 + 6 + 8 + 8 + 0 = 666.

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

It is a super-2 number, since 2×106346880² = 22619317771468800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106346881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212871 + ... + 213369.

Almost surely, 2^106346880 is an apocalyptic number.

106346880 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 106346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188955000).

106346880 is an abundant number, since it is smaller than the sum of its proper divisors (271563120).

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

106346880 is a wasteful number, since it uses less digits than its factorization.

106346880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 106346880 is about 10312.4623635677. The cubic root of 106346880 is about 473.7780299156.

The spelling of 106346880 in words is "one hundred six million, three hundred forty-six thousand, eight hundred eighty".