102801888 has 72 divisors (see below), whose sum is σ = 334112688. Its totient is φ = 29371392.

The previous prime is 102801877. The next prime is 102801917. The reversal of 102801888 is 888108201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23481 + ... + 27512.

It is an arithmetic number, because the mean of its divisors is an integer number (4640454).

Almost surely, 2^102801888 is an apocalyptic number.

102801888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102801888 is an abundant number, since it is smaller than the sum of its proper divisors (231310800).

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

102801888 is a wasteful number, since it uses less digits than its factorization.

102801888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51016 (or 51005 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 102801888 is about 10139.1265896033. The cubic root of 102801888 is about 468.4540848056.

The spelling of 102801888 in words is "one hundred two million, eight hundred one thousand, eight hundred eighty-eight".