101457216 has 84 divisors (see below), whose sum is σ = 332366112. Its totient is φ = 28986624.

The previous prime is 101457157. The next prime is 101457217. The reversal of 101457216 is 612754101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a self number, because there is not a number n which added to its sum of digits gives 101457216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101457217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8550 + ... + 16613.

Almost surely, 2^101457216 is an apocalyptic number.

101457216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101457216 is an abundant number, since it is smaller than the sum of its proper divisors (230908896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101457216 is a wasteful number, since it uses less digits than its factorization.

101457216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25188 (or 25175 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 101457216 is about 10072.5972817342. The cubic root of 101457216 is about 466.4026188795.

The spelling of 101457216 in words is "one hundred one million, four hundred fifty-seven thousand, two hundred sixteen".