102672747450 has 576 divisors, whose sum is σ = 357023220480. Its totient is φ = 21236567040.

The previous prime is 102672747439. The next prime is 102672747451. The reversal of 102672747450 is 54747276201.

102672747450 is a `hidden beast` number, since 1 + 0 + 267 + 274 + 74 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 102672747396 and 102672747405.

It is not an unprimeable number, because it can be changed into a prime (102672747451) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 84643044 + ... + 84644256.

It is an arithmetic number, because the mean of its divisors is an integer number (619831980).

Almost surely, 2^102672747450 is an apocalyptic number.

102672747450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102672747450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178511610240).

102672747450 is an abundant number, since it is smaller than the sum of its proper divisors (254350473030).

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

102672747450 is a wasteful number, since it uses less digits than its factorization.

102672747450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 102672747450 in words is "one hundred two billion, six hundred seventy-two million, seven hundred forty-seven thousand, four hundred fifty".