102350000 has 120 divisors (see below), whose sum is σ = 261545760. Its totient is φ = 38720000.

The previous prime is 102349969. The next prime is 102350011. The reversal of 102350000 is 53201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1149956 + ... + 1150044.

It is an arithmetic number, because the mean of its divisors is an integer number (2179548).

Almost surely, 2^102350000 is an apocalyptic number.

102350000 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 102350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130772880).

102350000 is an abundant number, since it is smaller than the sum of its proper divisors (159195760).

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

102350000 is an frugal number, since it uses more digits than its factorization.

102350000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 102350000 is about 10116.8176814649. The cubic root of 102350000 is about 467.7666794218.

The spelling of 102350000 in words is "one hundred two million, three hundred fifty thousand".