102370464 has 288 divisors, whose sum is σ = 367960320. Its totient is φ = 26320896.

The previous prime is 102370421. The next prime is 102370483. The reversal of 102370464 is 464073201.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×102370464³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 993837 + ... + 993939.

It is an arithmetic number, because the mean of its divisors is an integer number (1277640).

Almost surely, 2^102370464 is an apocalyptic number.

102370464 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 102370464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183980160).

102370464 is an abundant number, since it is smaller than the sum of its proper divisors (265589856).

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

102370464 is a wasteful number, since it uses less digits than its factorization.

102370464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 102370464 is about 10117.8290161477. The cubic root of 102370464 is about 467.7978526491.

The spelling of 102370464 in words is "one hundred two million, three hundred seventy thousand, four hundred sixty-four".