102772254 has 64 divisors (see below), whose sum is σ = 240629760. Its totient is φ = 28978560.

The previous prime is 102772253. The next prime is 102772309. The reversal of 102772254 is 452277201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102772253) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 44824 + ... + 47060.

It is an arithmetic number, because the mean of its divisors is an integer number (3759840).

Almost surely, 2^102772254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102772254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120314880).

102772254 is an abundant number, since it is smaller than the sum of its proper divisors (137857506).

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

102772254 is a wasteful number, since it uses less digits than its factorization.

102772254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305.

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 102772254 is about 10137.6651157947. The cubic root of 102772254 is about 468.4090677904.

The spelling of 102772254 in words is "one hundred two million, seven hundred seventy-two thousand, two hundred fifty-four".