106216380 has 96 divisors (see below), whose sum is σ = 332236800. Its totient is φ = 28171584.

The previous prime is 106216379. The next prime is 106216393. The reversal of 106216380 is 83612601.

106216380 is a `hidden beast` number, since 1 + 0 + 6 + 21 + 638 + 0 = 666.

It is a super-2 number, since 2×106216380² = 22563838760608800, 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128649 + ... + 129471.

It is an arithmetic number, because the mean of its divisors is an integer number (3460800).

Almost surely, 2^106216380 is an apocalyptic number.

106216380 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 106216380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166118400).

106216380 is an abundant number, since it is smaller than the sum of its proper divisors (226020420).

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

106216380 is a wasteful number, since it uses less digits than its factorization.

106216380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 106216380 is about 10306.1331254744. The cubic root of 106216380 is about 473.5841569964.

Adding to 106216380 its reverse (83612601), we get a palindrome (189828981).

The spelling of 106216380 in words is "one hundred six million, two hundred sixteen thousand, three hundred eighty".