102486720 has 224 divisors, whose sum is σ = 378049536. Its totient is φ = 23040000.

The previous prime is 102486701. The next prime is 102486733. The reversal of 102486720 is 27684201.

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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 678645 + ... + 678795.

Almost surely, 2^102486720 is an apocalyptic number.

102486720 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 102486720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189024768).

102486720 is an abundant number, since it is smaller than the sum of its proper divisors (275562816).

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

102486720 is a wasteful number, since it uses less digits than its factorization.

102486720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 102486720 is about 10123.5724919615. The cubic root of 102486720 is about 467.9748689844.

The spelling of 102486720 in words is "one hundred two million, four hundred eighty-six thousand, seven hundred twenty".