102477072 has 80 divisors (see below), whose sum is σ = 277998080. Its totient is φ = 32486400.

The previous prime is 102477031. The next prime is 102477083. The reversal of 102477072 is 270774201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90204 + ... + 91332.

It is an arithmetic number, because the mean of its divisors is an integer number (3474976).

Almost surely, 2^102477072 is an apocalyptic number.

102477072 is a gapful number since it is divisible by the number (12) 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 102477072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138999040).

102477072 is an abundant number, since it is smaller than the sum of its proper divisors (175521008).

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

102477072 is a wasteful number, since it uses less digits than its factorization.

102477072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 30.

The square root of 102477072 is about 10123.0959691193. The cubic root of 102477072 is about 467.9601836241.

The spelling of 102477072 in words is "one hundred two million, four hundred seventy-seven thousand, seventy-two".