102772037088 has 288 divisors, whose sum is σ = 358120375200. Its totient is φ = 28569397248.

The previous prime is 102772037087. The next prime is 102772037107. The reversal of 102772037088 is 880730277201.

It is a happy number.

102772037088 is a `hidden beast` number, since 1 + 0 + 277 + 2 + 0 + 370 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102772037083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1533628 + ... + 1599236.

It is an arithmetic number, because the mean of its divisors is an integer number (1243473525).

Almost surely, 2^102772037088 is an apocalyptic number.

102772037088 is a gapful number since it is divisible by the number (18) 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 102772037088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179060187600).

102772037088 is an abundant number, since it is smaller than the sum of its proper divisors (255348338112).

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

102772037088 is a wasteful number, since it uses less digits than its factorization.

102772037088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65679 (or 65658 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 102772037088 in words is "one hundred two billion, seven hundred seventy-two million, thirty-seven thousand, eighty-eight".