106053480 has 384 divisors, whose sum is σ = 415134720. Its totient is φ = 23224320.

The previous prime is 106053473. The next prime is 106053487. The reversal of 106053480 is 84350601.

106053480 is a `hidden beast` number, since 10 + 605 + 3 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (106053473) and next prime (106053487).

It is a super-2 number, since 2×106053480² = 22494681240220800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106053487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2466339 + ... + 2466381.

It is an arithmetic number, because the mean of its divisors is an integer number (1081080).

Almost surely, 2^106053480 is an apocalyptic number.

106053480 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 106053480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207567360).

106053480 is an abundant number, since it is smaller than the sum of its proper divisors (309081240).

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

106053480 is a wasteful number, since it uses less digits than its factorization.

106053480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 106053480 is about 10298.2270318730. The cubic root of 106053480 is about 473.3419271512.

The spelling of 106053480 in words is "one hundred six million, fifty-three thousand, four hundred eighty".