102461072 has 80 divisors (see below), whose sum is σ = 241948800. Its totient is φ = 41057280.

The previous prime is 102461063. The next prime is 102461083. The reversal of 102461072 is 270164201.

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 15 ways as a sum of consecutive naturals, for example, 189122 + ... + 189662.

It is an arithmetic number, because the mean of its divisors is an integer number (3024360).

Almost surely, 2^102461072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102461072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120974400).

102461072 is an abundant number, since it is smaller than the sum of its proper divisors (139487728).

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

102461072 is a wasteful number, since it uses less digits than its factorization.

102461072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 102461072 is about 10122.3056662008. The cubic root of 102461072 is about 467.9358277609.

The spelling of 102461072 in words is "one hundred two million, four hundred sixty-one thousand, seventy-two".