101864425 has 48 divisors (see below), whose sum is σ = 146240640. Its totient is φ = 69719040.

The previous prime is 101864381. The next prime is 101864437. The reversal of 101864425 is 524468101.

It is not a de Polignac number, because 101864425 - 2¹⁹ = 101340137 is a prime.

It is a super-2 number, since 2×101864425² = 20752722161161250, which contains 22 as substring.

It is a plaindrome in base 7.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 568986 + ... + 569164.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2^101864425 is an apocalyptic number.

It is an amenable number.

101864425 is a deficient number, since it is larger than the sum of its proper divisors (44376215).

101864425 is a wasteful number, since it uses less digits than its factorization.

101864425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 101864425 is about 10092.7907438924. The cubic root of 101864425 is about 467.0257709307.

The spelling of 101864425 in words is "one hundred one million, eight hundred sixty-four thousand, four hundred twenty-five".