106045980 has 48 divisors (see below), whose sum is σ = 299575584. Its totient is φ = 28026880.

The previous prime is 106045937. The next prime is 106045993. The reversal of 106045980 is 89540601.

It is a super-2 number, since 2×106045980² = 22491499748320800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1041 + ... + 14600.

It is an arithmetic number, because the mean of its divisors is an integer number (6241158).

Almost surely, 2^106045980 is an apocalyptic number.

106045980 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 106045980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149787792).

106045980 is an abundant number, since it is smaller than the sum of its proper divisors (193529604).

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

106045980 is a wasteful number, since it uses less digits than its factorization.

106045980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15766 (or 15764 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 106045980 is about 10297.8628850845. The cubic root of 106045980 is about 473.3307687930.

The spelling of 106045980 in words is "one hundred six million, forty-five thousand, nine hundred eighty".