106553480 has 64 divisors (see below), whose sum is σ = 272937600. Its totient is φ = 37058560.

The previous prime is 106553477. The next prime is 106553497. The reversal of 106553480 is 84355601.

It is a happy number.

It is a super-2 number, since 2×106553480² = 22707288200220800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 4856 + ... + 15384.

It is an arithmetic number, because the mean of its divisors is an integer number (4264650).

Almost surely, 2^106553480 is an apocalyptic number.

106553480 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 106553480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136468800).

106553480 is an abundant number, since it is smaller than the sum of its proper divisors (166384120).

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

106553480 is a wasteful number, since it uses less digits than its factorization.

106553480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10574 (or 10570 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 106553480 is about 10322.4745095350. The cubic root of 106553480 is about 474.0846341898.

It can be divided in two parts, 1065 and 53480, that added together give a palindrome (54545).

The spelling of 106553480 in words is "one hundred six million, five hundred fifty-three thousand, four hundred eighty".