101904516 has 108 divisors (see below), whose sum is σ = 307174140. Its totient is φ = 28385280.

The previous prime is 101904499. The next prime is 101904529. The reversal of 101904516 is 615409101.

It can be written as a sum of positive squares in 2 ways, for example, as 2822400 + 99082116 = 1680^2 + 9954^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101904516.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71620 + ... + 73028.

It is an arithmetic number, because the mean of its divisors is an integer number (2844205).

Almost surely, 2^101904516 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 101904516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153587070).

101904516 is an abundant number, since it is smaller than the sum of its proper divisors (205269624).

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

101904516 is a wasteful number, since it uses less digits than its factorization.

101904516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 101904516 is about 10094.7766691492. The cubic root of 101904516 is about 467.0870323389.

It can be divided in two parts, 10190 and 4516, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 101904516 in words is "one hundred one million, nine hundred four thousand, five hundred sixteen".