102051000 has 384 divisors, whose sum is σ = 394243200. Its totient is φ = 23654400.

The previous prime is 102050969. The next prime is 102051011. The reversal of 102051000 is 150201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3518986 + ... + 3519014.

It is an arithmetic number, because the mean of its divisors is an integer number (1026675).

Almost surely, 2^102051000 is an apocalyptic number.

102051000 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 102051000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197121600).

102051000 is an abundant number, since it is smaller than the sum of its proper divisors (292192200).

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

102051000 is a wasteful number, since it uses less digits than its factorization.

102051000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 102051000 is about 10102.0294990660. The cubic root of 102051000 is about 467.3107320059.

The spelling of 102051000 in words is "one hundred two million, fifty-one thousand".