106616730 has 96 divisors (see below), whose sum is σ = 293715072. Its totient is φ = 24703360.

The previous prime is 106616723. The next prime is 106616747. The reversal of 106616730 is 37616601.

It is a super-2 number, since 2×106616730² = 22734254231785800, 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 47 ways as a sum of consecutive naturals, for example, 82852 + ... + 84128.

It is an arithmetic number, because the mean of its divisors is an integer number (3059532).

Almost surely, 2^106616730 is an apocalyptic number.

106616730 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 106616730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146857536).

106616730 is an abundant number, since it is smaller than the sum of its proper divisors (187098342).

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

106616730 is a wasteful number, since it uses less digits than its factorization.

106616730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 106616730 is about 10325.5377583930. The cubic root of 106616730 is about 474.1784209652.

It can be divided in two parts, 10661 and 6730, that added together give a triangular number (17391 = T₁₈₆).

The spelling of 106616730 in words is "one hundred six million, six hundred sixteen thousand, seven hundred thirty".