102059520 has 160 divisors (see below), whose sum is σ = 332041248. Its totient is φ = 26738688.

The previous prime is 102059519. The next prime is 102059521. The reversal of 102059520 is 25950201.

It is an interprime number because it is at equal distance from previous prime (102059519) and next prime (102059521).

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×102059520² = 20832291245260800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102059521) 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, 744892 + ... + 745028.

Almost surely, 2^102059520 is an apocalyptic number.

102059520 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 102059520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166020624).

102059520 is an abundant number, since it is smaller than the sum of its proper divisors (229981728).

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

102059520 is an equidigital number, since it uses as much as digits as its factorization.

102059520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 102059520 is about 10102.4511877069. The cubic root of 102059520 is about 467.3237365384.

The spelling of 102059520 in words is "one hundred two million, fifty-nine thousand, five hundred twenty".