101825997 has 64 divisors (see below), whose sum is σ = 179128320. Its totient is φ = 49953024.

The previous prime is 101825987. The next prime is 101826061. The reversal of 101825997 is 799528101.

It is not a de Polignac number, because 101825997 - 2⁴ = 101825981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101825987) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 347383 + ... + 347675.

It is an arithmetic number, because the mean of its divisors is an integer number (2798880).

Almost surely, 2^101825997 is an apocalyptic number.

It is an amenable number.

101825997 is a deficient number, since it is larger than the sum of its proper divisors (77302323).

101825997 is a wasteful number, since it uses less digits than its factorization.

101825997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402.

The product of its (nonzero) digits is 45360, while the sum is 42.

The square root of 101825997 is about 10090.8868292138. The cubic root of 101825997 is about 466.9670355950.

The spelling of 101825997 in words is "one hundred one million, eight hundred twenty-five thousand, nine hundred ninety-seven".