102013776 has 40 divisors (see below), whose sum is σ = 292818560. Its totient is φ = 34004448.

The previous prime is 102013771. The next prime is 102013783. The reversal of 102013776 is 677310201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102013771) 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 7 ways as a sum of consecutive naturals, for example, 117640 + ... + 118503.

It is an arithmetic number, because the mean of its divisors is an integer number (7320464).

Almost surely, 2^102013776 is an apocalyptic number.

102013776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102013776 is an abundant number, since it is smaller than the sum of its proper divisors (190804784).

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

102013776 is a wasteful number, since it uses less digits than its factorization.

102013776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236160 (or 236148 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 102013776 is about 10100.1869289632. The cubic root of 102013776 is about 467.2539065293.

Adding to 102013776 its reverse (677310201), we get a palindrome (779323977).

The spelling of 102013776 in words is "one hundred two million, thirteen thousand, seven hundred seventy-six".