102971616 has 48 divisors (see below), whose sum is σ = 294876288. Its totient is φ = 31203200.

The previous prime is 102971597. The next prime is 102971639. The reversal of 102971616 is 616179201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47700 + ... + 49811.

It is an arithmetic number, because the mean of its divisors is an integer number (6143256).

Almost surely, 2^102971616 is an apocalyptic number.

102971616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102971616 is an abundant number, since it is smaller than the sum of its proper divisors (191904672).

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

102971616 is a wasteful number, since it uses less digits than its factorization.

102971616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97535 (or 97527 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 102971616 is about 10147.4930894285. The cubic root of 102971616 is about 468.7117521148.

The spelling of 102971616 in words is "one hundred two million, nine hundred seventy-one thousand, six hundred sixteen".