102461000 has 32 divisors (see below), whose sum is σ = 239761080. Its totient is φ = 40984000.

The previous prime is 102460997. The next prime is 102461011. The reversal of 102461000 is 164201.

It can be written as a sum of positive squares in 4 ways, for example, as 7086244 + 95374756 = 2662^2 + 9766^2 .

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 7 ways as a sum of consecutive naturals, for example, 50231 + ... + 52230.

Almost surely, 2^102461000 is an apocalyptic number.

102461000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102461000 is an abundant number, since it is smaller than the sum of its proper divisors (137300080).

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

102461000 is a wasteful number, since it uses less digits than its factorization.

102461000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102482 (or 102468 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 102461000 is about 10122.3021096982. The cubic root of 102461000 is about 467.9357181537.

The spelling of 102461000 in words is "one hundred two million, four hundred sixty-one thousand".