102008970 has 112 divisors (see below), whose sum is σ = 314784000. Its totient is φ = 23304672.

The previous prime is 102008969. The next prime is 102008981. The reversal of 102008970 is 79800201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 50031 + ... + 52029.

Almost surely, 2^102008970 is an apocalyptic number.

102008970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102008970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157392000).

102008970 is an abundant number, since it is smaller than the sum of its proper divisors (212775030).

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

102008970 is an equidigital number, since it uses as much as digits as its factorization.

102008970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 102008970 is about 10099.9490097723. The cubic root of 102008970 is about 467.2465687702.

The spelling of 102008970 in words is "one hundred two million, eight thousand, nine hundred seventy".