106980480 has 256 divisors, whose sum is σ = 390700800. Its totient is φ = 27648000.

The previous prime is 106980409. The next prime is 106980481. The reversal of 106980480 is 84089601.

It is a happy number.

It is a super-2 number, since 2×106980480² = 22889646202060800, 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 (106980481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708405 + ... + 708555.

It is an arithmetic number, because the mean of its divisors is an integer number (1526175).

Almost surely, 2^106980480 is an apocalyptic number.

106980480 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 106980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195350400).

106980480 is an abundant number, since it is smaller than the sum of its proper divisors (283720320).

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

106980480 is a wasteful number, since it uses less digits than its factorization.

106980480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 202 counting only the distinct ones).

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

The square root of 106980480 is about 10343.1368549391. The cubic root of 106980480 is about 474.7170688108.

The spelling of 106980480 in words is "one hundred six million, nine hundred eighty thousand, four hundred eighty".