101049216 has 64 divisors (see below), whose sum is σ = 271891200. Its totient is φ = 33246720.

The previous prime is 101049209. The next prime is 101049251. The reversal of 101049216 is 612940101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28671 + ... + 32001.

It is an arithmetic number, because the mean of its divisors is an integer number (4248300).

Almost surely, 2^101049216 is an apocalyptic number.

101049216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101049216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135945600).

101049216 is an abundant number, since it is smaller than the sum of its proper divisors (170841984).

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

101049216 is an equidigital number, since it uses as much as digits as its factorization.

101049216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3427 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 101049216 is about 10052.3239104199. The cubic root of 101049216 is about 465.7765818567.

Adding to 101049216 its reverse (612940101), we get a palindrome (713989317).

The spelling of 101049216 in words is "one hundred one million, forty-nine thousand, two hundred sixteen".