102412464 has 160 divisors (see below), whose sum is σ = 334026240. Its totient is φ = 26484480.

The previous prime is 102412439. The next prime is 102412477. The reversal of 102412464 is 464214201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 447102 + ... + 447330.

It is an arithmetic number, because the mean of its divisors is an integer number (2087664).

Almost surely, 2^102412464 is an apocalyptic number.

102412464 is a gapful number since it is divisible by the number (14) 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 102412464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167013120).

102412464 is an abundant number, since it is smaller than the sum of its proper divisors (231613776).

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

102412464 is a wasteful number, since it uses less digits than its factorization.

102412464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 102412464 is about 10119.9043473740. The cubic root of 102412464 is about 467.8618190924.

Adding to 102412464 its reverse (464214201), we get a palindrome (566626665).

The spelling of 102412464 in words is "one hundred two million, four hundred twelve thousand, four hundred sixty-four".