102773440 has 224 divisors, whose sum is σ = 315431424. Its totient is φ = 30965760.

The previous prime is 102773389. The next prime is 102773441. The reversal of 102773440 is 44377201.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 102773399 and 102773408.

It is not an unprimeable number, because it can be changed into a prime (102773441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1059472 + ... + 1059568.

It is an arithmetic number, because the mean of its divisors is an integer number (1408176).

Almost surely, 2^102773440 is an apocalyptic number.

102773440 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 102773440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157715712).

102773440 is an abundant number, since it is smaller than the sum of its proper divisors (212657984).

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

102773440 is a wasteful number, since it uses less digits than its factorization.

102773440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 102773440 is about 10137.7236103575. The cubic root of 102773440 is about 468.4108696094.

The spelling of 102773440 in words is "one hundred two million, seven hundred seventy-three thousand, four hundred forty".