101066016 has 96 divisors (see below), whose sum is σ = 283772160. Its totient is φ = 31401216.

The previous prime is 101065973. The next prime is 101066033. The reversal of 101066016 is 610660101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×101066016² = 20428679180224512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101065983 and 101066001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121795 + ... + 122621.

It is an arithmetic number, because the mean of its divisors is an integer number (2955960).

Almost surely, 2^101066016 is an apocalyptic number.

101066016 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 101066016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141886080).

101066016 is an abundant number, since it is smaller than the sum of its proper divisors (182706144).

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

101066016 is a wasteful number, since it uses less digits than its factorization.

101066016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 101066016 is about 10053.1595033601. The cubic root of 101066016 is about 465.8023930844.

The spelling of 101066016 in words is "one hundred one million, sixty-six thousand, sixteen".