102190464 has 64 divisors (see below), whose sum is σ = 301614000. Its totient is φ = 34062336.

The previous prime is 102190463. The next prime is 102190483. The reversal of 102190464 is 464091201.

102190464 is a `hidden beast` number, since 10 + 2 + 190 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102190463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11329 + ... + 18240.

Almost surely, 2^102190464 is an apocalyptic number.

It is an amenable number.

102190464 is an abundant number, since it is smaller than the sum of its proper divisors (199423536).

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

102190464 is an equidigital number, since it uses as much as digits as its factorization.

102190464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29592 (or 29574 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 102190464 is about 10108.9299136951. The cubic root of 102190464 is about 467.5235124057.

The spelling of 102190464 in words is "one hundred two million, one hundred ninety thousand, four hundred sixty-four".