102961056 has 48 divisors (see below), whose sum is σ = 294846048. Its totient is φ = 31200000.

The previous prime is 102961043. The next prime is 102961091. The reversal of 102961056 is 650169201.

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

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, 47695 + ... + 49806.

It is an arithmetic number, because the mean of its divisors is an integer number (6142626).

Almost surely, 2^102961056 is an apocalyptic number.

102961056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102961056 is an abundant number, since it is smaller than the sum of its proper divisors (191884992).

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

102961056 is a wasteful number, since it uses less digits than its factorization.

102961056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97525 (or 97517 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 102961056 is about 10146.9727505301. The cubic root of 102961056 is about 468.6957290413.

The spelling of 102961056 in words is "one hundred two million, nine hundred sixty-one thousand, fifty-six".