106519080 has 32 divisors (see below), whose sum is σ = 319557600. Its totient is φ = 28405056.

The previous prime is 106519019. The next prime is 106519081. The reversal of 106519080 is 80915601.

It is a happy number.

It is a super-2 number, since 2×106519080² = 22692628808092800, 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 (106519081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 443710 + ... + 443949.

It is an arithmetic number, because the mean of its divisors is an integer number (9986175).

Almost surely, 2^106519080 is an apocalyptic number.

106519080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106519080 is an abundant number, since it is smaller than the sum of its proper divisors (213038520).

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

106519080 is a wasteful number, since it uses less digits than its factorization.

106519080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887673 (or 887669 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 106519080 is about 10320.8081078954. The cubic root of 106519080 is about 474.0336104636.

The spelling of 106519080 in words is "one hundred six million, five hundred nineteen thousand, eighty".