101025305 has 16 divisors (see below), whose sum is σ = 128937744. Its totient is φ = 75724800.

The previous prime is 101025289. The next prime is 101025319. The reversal of 101025305 is 503520101.

It can be written as a sum of positive squares in 8 ways, for example, as 20313049 + 80712256 = 4507^2 + 8984^2 .

It is not a de Polignac number, because 101025305 - 2⁴ = 101025289 is a prime.

It is a super-2 number, since 2×101025305² = 20412224500686050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17255 + ... + 22355.

It is an arithmetic number, because the mean of its divisors is an integer number (8058609).

Almost surely, 2^101025305 is an apocalyptic number.

It is an amenable number.

101025305 is a deficient number, since it is larger than the sum of its proper divisors (27912439).

101025305 is a wasteful number, since it uses less digits than its factorization.

101025305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5356.

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 101025305 is about 10051.1345130786. The cubic root of 101025305 is about 465.7398404784.

Adding to 101025305 its reverse (503520101), we get a palindrome (604545406).

The spelling of 101025305 in words is "one hundred one million, twenty-five thousand, three hundred five".