106680450 has 48 divisors (see below), whose sum is σ = 266161536. Its totient is φ = 28276800.

The previous prime is 106680449. The next prime is 106680479. The reversal of 106680450 is 54086601.

It is a super-2 number, since 2×106680450² = 22761436824405000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23895 + ... + 28005.

It is an arithmetic number, because the mean of its divisors is an integer number (5545032).

Almost surely, 2^106680450 is an apocalyptic number.

106680450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106680450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133080768).

106680450 is an abundant number, since it is smaller than the sum of its proper divisors (159481086).

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

106680450 is a wasteful number, since it uses less digits than its factorization.

106680450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4299 (or 4294 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 106680450 is about 10328.6228510872. The cubic root of 106680450 is about 474.2728671547.

The spelling of 106680450 in words is "one hundred six million, six hundred eighty thousand, four hundred fifty".