106467480 has 128 divisors (see below), whose sum is σ = 405619200. Its totient is φ = 24333696.

The previous prime is 106467457. The next prime is 106467511. The reversal of 106467480 is 84764601.

106467480 is a `hidden beast` number, since 1 + 0 + 646 + 7 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×106467480² = 22670648595100800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 519 + ... + 14601.

It is an arithmetic number, because the mean of its divisors is an integer number (3168900).

Almost surely, 2^106467480 is an apocalyptic number.

106467480 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 106467480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202809600).

106467480 is an abundant number, since it is smaller than the sum of its proper divisors (299151720).

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

106467480 is a wasteful number, since it uses less digits than its factorization.

106467480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14110 (or 14100 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 106467480 is about 10318.3080008304. The cubic root of 106467480 is about 473.9570542729.

The spelling of 106467480 in words is "one hundred six million, four hundred sixty-seven thousand, four hundred eighty".