106984080 has 120 divisors (see below), whose sum is σ = 410634432. Its totient is φ = 24452352.

The previous prime is 106984061. The next prime is 106984081. The reversal of 106984080 is 80489601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×106984080² = 22891186746892800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106984081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5574 + ... + 15653.

Almost surely, 2^106984080 is an apocalyptic number.

106984080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106984080 is an abundant number, since it is smaller than the sum of its proper divisors (303650352).

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

106984080 is a wasteful number, since it uses less digits than its factorization.

106984080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21253 (or 21244 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 106984080 is about 10343.3108819178. The cubic root of 106984080 is about 474.7223936522.

The spelling of 106984080 in words is "one hundred six million, nine hundred eighty-four thousand, eighty".