101466431 has 16 divisors (see below), whose sum is σ = 114192288. Its totient is φ = 89356800.

The previous prime is 101466383. The next prime is 101466457. The reversal of 101466431 is 134664101.

It is a cyclic number.

It is not a de Polignac number, because 101466431 - 2¹⁰ = 101465407 is a prime.

It is a super-2 number, since 2×101466431² = 20590873239755522, which contains 22 as substring.

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 101466431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101466461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70091 + ... + 71523.

It is an arithmetic number, because the mean of its divisors is an integer number (7137018).

Almost surely, 2^101466431 is an apocalyptic number.

101466431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101466431 is a deficient number, since it is larger than the sum of its proper divisors (12725857).

101466431 is a wasteful number, since it uses less digits than its factorization.

101466431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 101466431 is about 10073.0547005365. The cubic root of 101466431 is about 466.4167390186.

The spelling of 101466431 in words is "one hundred one million, four hundred sixty-six thousand, four hundred thirty-one".