101911104 has 84 divisors (see below), whose sum is σ = 302232060. Its totient is φ = 32793600.

The previous prime is 101911099. The next prime is 101911109. The reversal of 101911104 is 401119101.

It is an interprime number because it is at equal distance from previous prime (101911099) and next prime (101911109).

It can be written as a sum of positive squares in 2 ways, for example, as 58982400 + 42928704 = 7680^2 + 6552^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101911109) 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, 13654 + ... + 19754.

Almost surely, 2^101911104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101911104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151116030).

101911104 is an abundant number, since it is smaller than the sum of its proper divisors (200320956).

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

101911104 is a wasteful number, since it uses less digits than its factorization.

101911104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6148 (or 6135 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The square root of 101911104 is about 10095.1029712430. The cubic root of 101911104 is about 467.0970976536.

The spelling of 101911104 in words is "one hundred one million, nine hundred eleven thousand, one hundred four".