106597980 has 144 divisors (see below), whose sum is σ = 345945600. Its totient is φ = 26490240.

The previous prime is 106597963. The next prime is 106597987. The reversal of 106597980 is 89795601.

It is a super-2 number, since 2×106597980² = 22726258680160800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106597987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242601 + ... + 243039.

It is an arithmetic number, because the mean of its divisors is an integer number (2402400).

Almost surely, 2^106597980 is an apocalyptic number.

106597980 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 106597980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172972800).

106597980 is an abundant number, since it is smaller than the sum of its proper divisors (239347620).

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

106597980 is a wasteful number, since it uses less digits than its factorization.

106597980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 106597980 is about 10324.6297754447. The cubic root of 106597980 is about 474.1506224304.

The spelling of 106597980 in words is "one hundred six million, five hundred ninety-seven thousand, nine hundred eighty".