106153060 has 48 divisors (see below), whose sum is σ = 240828336. Its totient is φ = 39071232.

The previous prime is 106153039. The next prime is 106153063. The reversal of 106153060 is 60351601.

It can be written as a sum of positive squares in 8 ways, for example, as 3779136 + 102373924 = 1944^2 + 10118^2 .

It is a super-2 number, since 2×106153060² = 22536944294727200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106153063) 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, 144454 + ... + 145186.

It is an arithmetic number, because the mean of its divisors is an integer number (5017257).

Almost surely, 2^106153060 is an apocalyptic number.

106153060 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 106153060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120414168).

106153060 is an abundant number, since it is smaller than the sum of its proper divisors (134675276).

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

106153060 is a wasteful number, since it uses less digits than its factorization.

106153060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 106153060 is about 10303.0607102938. The cubic root of 106153060 is about 473.4900305547.

The spelling of 106153060 in words is "one hundred six million, one hundred fifty-three thousand, sixty".