101042025 has 24 divisors (see below), whose sum is σ = 190922304. Its totient is φ = 46190400.

The previous prime is 101042023. The next prime is 101042041. The reversal of 101042025 is 520240101.

It is not a de Polignac number, because 101042025 - 2¹ = 101042023 is a prime.

It is a super-2 number, since 2×101042025² = 20418981632201250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 101041995 and 101042013.

It is not an unprimeable number, because it can be changed into a prime (101042023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95706 + ... + 96755.

It is an arithmetic number, because the mean of its divisors is an integer number (7955096).

Almost surely, 2^101042025 is an apocalyptic number.

101042025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101042025 is a deficient number, since it is larger than the sum of its proper divisors (89880279).

101042025 is a wasteful number, since it uses less digits than its factorization.

101042025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192481 (or 192476 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 101042025 is about 10051.9662255700. The cubic root of 101042025 is about 465.7655328551.

Adding to 101042025 its reverse (520240101), we get a palindrome (621282126).

The spelling of 101042025 in words is "one hundred one million, forty-two thousand, twenty-five".