102971953 has 16 divisors (see below), whose sum is σ = 122400000. Its totient is φ = 84756672.

The previous prime is 102971929. The next prime is 102971959. The reversal of 102971953 is 359179201.

It is not a de Polignac number, because 102971953 - 2⁹ = 102971441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102971959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39123 + ... + 41671.

It is an arithmetic number, because the mean of its divisors is an integer number (7650000).

Almost surely, 2^102971953 is an apocalyptic number.

It is an amenable number.

102971953 is a deficient number, since it is larger than the sum of its proper divisors (19428047).

102971953 is a wasteful number, since it uses less digits than its factorization.

102971953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784.

The product of its (nonzero) digits is 17010, while the sum is 37.

The square root of 102971953 is about 10147.5096945014. The cubic root of 102971953 is about 468.7122634391.

The spelling of 102971953 in words is "one hundred two million, nine hundred seventy-one thousand, nine hundred fifty-three".