106256480 has 48 divisors (see below), whose sum is σ = 273856464. Its totient is φ = 38638080.

The previous prime is 106256473. The next prime is 106256503. The reversal of 106256480 is 84652601.

It is a super-2 number, since 2×106256480² = 22580879083980800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 28427 + ... + 31946.

It is an arithmetic number, because the mean of its divisors is an integer number (5705343).

Almost surely, 2^106256480 is an apocalyptic number.

106256480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106256480 is an abundant number, since it is smaller than the sum of its proper divisors (167599984).

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

106256480 is a wasteful number, since it uses less digits than its factorization.

106256480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60399 (or 60391 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 106256480 is about 10308.0783854218. The cubic root of 106256480 is about 473.6437471002.

The spelling of 106256480 in words is "one hundred six million, two hundred fifty-six thousand, four hundred eighty".