102947520 has 224 divisors, whose sum is σ = 359980992. Its totient is φ = 24772608.

The previous prime is 102947519. The next prime is 102947521. The reversal of 102947520 is 25749201.

It is an interprime number because it is at equal distance from previous prime (102947519) and next prime (102947521).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (102947521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 910984 + ... + 911096.

It is an arithmetic number, because the mean of its divisors is an integer number (1607058).

Almost surely, 2^102947520 is an apocalyptic number.

102947520 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 102947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179990496).

102947520 is an abundant number, since it is smaller than the sum of its proper divisors (257033472).

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

102947520 is a wasteful number, since it uses less digits than its factorization.

102947520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 102947520 is about 10146.3057316444. The cubic root of 102947520 is about 468.6751887721.

The spelling of 102947520 in words is "one hundred two million, nine hundred forty-seven thousand, five hundred twenty".