101965457 has 8 divisors (see below), whose sum is σ = 117089760. Its totient is φ = 87816960.

The previous prime is 101965447. The next prime is 101965469. The reversal of 101965457 is 754569101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101965457 - 2⁴ = 101965441 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101965457.

It is not an unprimeable number, because it can be changed into a prime (101965447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243728 + ... + 244145.

It is an arithmetic number, because the mean of its divisors is an integer number (14636220).

Almost surely, 2^101965457 is an apocalyptic number.

It is an amenable number.

101965457 is a deficient number, since it is larger than the sum of its proper divisors (15124303).

101965457 is a wasteful number, since it uses less digits than its factorization.

101965457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487903.

The product of its (nonzero) digits is 37800, while the sum is 38.

The square root of 101965457 is about 10097.7946602216. The cubic root of 101965457 is about 467.1801230074.

The spelling of 101965457 in words is "one hundred one million, nine hundred sixty-five thousand, four hundred fifty-seven".