102061440 has 384 divisors, whose sum is σ = 400982400. Its totient is φ = 23740416.

The previous prime is 102061439. The next prime is 102061459. The reversal of 102061440 is 44160201.

102061440 is a `hidden beast` number, since 10 + 2 + 0 + 614 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2171497 + ... + 2171543.

It is an arithmetic number, because the mean of its divisors is an integer number (1044225).

Almost surely, 2^102061440 is an apocalyptic number.

102061440 is a gapful number since it is divisible by the number (10) 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 102061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200491200).

102061440 is an abundant number, since it is smaller than the sum of its proper divisors (298920960).

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

102061440 is a wasteful number, since it uses less digits than its factorization.

102061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 102061440 is about 10102.5462137028. The cubic root of 102061440 is about 467.3266670374.

The spelling of 102061440 in words is "one hundred two million, sixty-one thousand, four hundred forty".