103135776 has 96 divisors (see below), whose sum is σ = 279417600. Its totient is φ = 33296640.

The previous prime is 103135763. The next prime is 103135777. The reversal of 103135776 is 677531301.

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

It is a super-2 number, since 2×103135776² = 21273976582244352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103135777) 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 15 ways as a sum of consecutive naturals, for example, 741915 + ... + 742053.

It is an arithmetic number, because the mean of its divisors is an integer number (2910600).

Almost surely, 2^103135776 is an apocalyptic number.

103135776 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 103135776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139708800).

103135776 is an abundant number, since it is smaller than the sum of its proper divisors (176281824).

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

103135776 is a wasteful number, since it uses less digits than its factorization.

103135776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 103135776 is about 10155.5785654979. The cubic root of 103135776 is about 468.9606973155.

The spelling of 103135776 in words is "one hundred three million, one hundred thirty-five thousand, seven hundred seventy-six".