106657320 has 384 divisors, whose sum is σ = 434367360. Its totient is φ = 20643840.

The previous prime is 106657319. The next prime is 106657321. The reversal of 106657320 is 23756601.

It is an interprime number because it is at equal distance from previous prime (106657319) and next prime (106657321).

It is a super-2 number, since 2×106657320² = 22751567819164800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106657321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1099512 + ... + 1099608.

It is an arithmetic number, because the mean of its divisors is an integer number (1131165).

Almost surely, 2^106657320 is an apocalyptic number.

106657320 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 106657320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217183680).

106657320 is an abundant number, since it is smaller than the sum of its proper divisors (327710040).

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

106657320 is a wasteful number, since it uses less digits than its factorization.

106657320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 106657320 is about 10327.5030864193. The cubic root of 106657320 is about 474.2385880707.

The spelling of 106657320 in words is "one hundred six million, six hundred fifty-seven thousand, three hundred twenty".