102861000 has 192 divisors, whose sum is σ = 379641600. Its totient is φ = 24912000.

The previous prime is 102860981. The next prime is 102861001. The reversal of 102861000 is 168201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102861001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98481 + ... + 99519.

It is an arithmetic number, because the mean of its divisors is an integer number (1977300).

Almost surely, 2^102861000 is an apocalyptic number.

102861000 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 102861000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189820800).

102861000 is an abundant number, since it is smaller than the sum of its proper divisors (276780600).

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

102861000 is a wasteful number, since it uses less digits than its factorization.

102861000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 102861000 is about 10142.0412146668. The cubic root of 102861000 is about 468.5438560232.

The spelling of 102861000 in words is "one hundred two million, eight hundred sixty-one thousand".