102942000 has 480 divisors, whose sum is σ = 442590720. Its totient is φ = 21772800.

The previous prime is 102941999. The next prime is 102942001. The reversal of 102942000 is 249201.

It is an interprime number because it is at equal distance from previous prime (102941999) and next prime (102942001).

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 (102942001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2393979 + ... + 2394021.

It is an arithmetic number, because the mean of its divisors is an integer number (922064).

Almost surely, 2^102942000 is an apocalyptic number.

102942000 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 102942000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221295360).

102942000 is an abundant number, since it is smaller than the sum of its proper divisors (339648720).

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

102942000 is a wasteful number, since it uses less digits than its factorization.

102942000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 102942000 is about 10146.0337078092. The cubic root of 102942000 is about 468.6668119043. Note that the first 3 decimals are identical.

The spelling of 102942000 in words is "one hundred two million, nine hundred forty-two thousand".