106310880 has 240 divisors, whose sum is σ = 404689824. Its totient is φ = 26127360.

The previous prime is 106310863. The next prime is 106310881. The reversal of 106310880 is 88013601.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×106310880² = 22604006412748800, 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 (106310881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 168165 + ... + 168795.

Almost surely, 2^106310880 is an apocalyptic number.

106310880 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 106310880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202344912).

106310880 is an abundant number, since it is smaller than the sum of its proper divisors (298378944).

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

106310880 is a wasteful number, since it uses less digits than its factorization.

106310880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 106310880 is about 10310.7167549109. The cubic root of 106310880 is about 473.7245635798.

The spelling of 106310880 in words is "one hundred six million, three hundred ten thousand, eight hundred eighty".