106480920 has 256 divisors, whose sum is σ = 403200000. Its totient is φ = 22353408.

The previous prime is 106480903. The next prime is 106480937. The reversal of 106480920 is 29084601.

It is an interprime number because it is at equal distance from previous prime (106480903) and next prime (106480937).

It is a super-2 number, since 2×106480920² = 22676372648092800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 534981 + ... + 535179.

It is an arithmetic number, because the mean of its divisors is an integer number (1575000).

Almost surely, 2^106480920 is an apocalyptic number.

106480920 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 106480920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201600000).

106480920 is an abundant number, since it is smaller than the sum of its proper divisors (296719080).

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

106480920 is a wasteful number, since it uses less digits than its factorization.

106480920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 106480920 is about 10318.9592498469. The cubic root of 106480920 is about 473.9769968719.

The spelling of 106480920 in words is "one hundred six million, four hundred eighty thousand, nine hundred twenty".