102972648 has 64 divisors (see below), whose sum is σ = 265446720. Its totient is φ = 33267200.

The previous prime is 102972643. The next prime is 102972673. The reversal of 102972648 is 846279201.

It is a super-2 number, since 2×102972648² = 21206732472263808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102972643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223138 + ... + 223598.

It is an arithmetic number, because the mean of its divisors is an integer number (4147605).

Almost surely, 2^102972648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102972648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132723360).

102972648 is an abundant number, since it is smaller than the sum of its proper divisors (162474072).

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

102972648 is a wasteful number, since it uses less digits than its factorization.

102972648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 102972648 is about 10147.5439392988. The cubic root of 102972648 is about 468.7133179473.

The spelling of 102972648 in words is "one hundred two million, nine hundred seventy-two thousand, six hundred forty-eight".