101864457 has 6 divisors (see below), whose sum is σ = 147137562. Its totient is φ = 67909632.

The previous prime is 101864437. The next prime is 101864461. The reversal of 101864457 is 754468101.

It is a happy number.

101864457 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 644 + 5 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101123136 + 741321 = 10056^2 + 861^2 .

It is not a de Polignac number, because 101864457 - 2⁸ = 101864201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101864437) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5659128 + ... + 5659145.

It is an arithmetic number, because the mean of its divisors is an integer number (24522927).

Almost surely, 2^101864457 is an apocalyptic number.

It is an amenable number.

101864457 is a deficient number, since it is larger than the sum of its proper divisors (45273105).

101864457 is a wasteful number, since it uses less digits than its factorization.

101864457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11318279 (or 11318276 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 101864457 is about 10092.7923291822. The cubic root of 101864457 is about 467.0258198350.

The spelling of 101864457 in words is "one hundred one million, eight hundred sixty-four thousand, four hundred fifty-seven".