106002560 has 64 divisors (see below), whose sum is σ = 256397400. Its totient is φ = 41902080.

The previous prime is 106002467. The next prime is 106002563. The reversal of 106002560 is 65200601.

It can be written as a sum of positive squares in 4 ways, for example, as 30382144 + 75620416 = 5512^2 + 8696^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106002560² = 22473085453107200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106002563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56030 + ... + 57890.

Almost surely, 2^106002560 is an apocalyptic number.

106002560 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 106002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128198700).

106002560 is an abundant number, since it is smaller than the sum of its proper divisors (150394840).

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

106002560 is an equidigital number, since it uses as much as digits as its factorization.

106002560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 106002560 is about 10295.7544648268. The cubic root of 106002560 is about 473.2661589964.

The spelling of 106002560 in words is "one hundred six million, two thousand, five hundred sixty".