106264480 has 96 divisors (see below), whose sum is σ = 290787840. Its totient is φ = 35942400.

The previous prime is 106264471. The next prime is 106264489. The reversal of 106264480 is 84462601.

It is an interprime number because it is at equal distance from previous prime (106264471) and next prime (106264489).

It is a super-2 number, since 2×106264480² = 22584279419340800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106264489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87880 + ... + 89080.

It is an arithmetic number, because the mean of its divisors is an integer number (3029040).

Almost surely, 2^106264480 is an apocalyptic number.

106264480 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 106264480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145393920).

106264480 is an abundant number, since it is smaller than the sum of its proper divisors (184523360).

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

106264480 is a wasteful number, since it uses less digits than its factorization.

106264480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 106264480 is about 10308.4664232853. The cubic root of 106264480 is about 473.6556336063.

The spelling of 106264480 in words is "one hundred six million, two hundred sixty-four thousand, four hundred eighty".