102764256 has 96 divisors (see below), whose sum is σ = 318302208. Its totient is φ = 28408320.

The previous prime is 102764251. The next prime is 102764261. The reversal of 102764256 is 652467201.

It is an interprime number because it is at equal distance from previous prime (102764251) and next prime (102764261).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×102764256² = 21120984622467072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102764251) 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, 18366 + ... + 23298.

It is an arithmetic number, because the mean of its divisors is an integer number (3315648).

Almost surely, 2^102764256 is an apocalyptic number.

102764256 is a gapful number since it is divisible by the number (16) 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 102764256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159151104).

102764256 is an abundant number, since it is smaller than the sum of its proper divisors (215537952).

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

102764256 is a wasteful number, since it uses less digits than its factorization.

102764256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4984 (or 4976 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 102764256 is about 10137.2706385891. The cubic root of 102764256 is about 468.3969165441.

The spelling of 102764256 in words is "one hundred two million, seven hundred sixty-four thousand, two hundred fifty-six".