101369632 has 72 divisors (see below), whose sum is σ = 250062876. Its totient is φ = 40094208.

The previous prime is 101369627. The next prime is 101369641. The reversal of 101369632 is 236963101.

It can be written as a sum of positive squares in 2 ways, for example, as 99920016 + 1449616 = 9996^2 + 1204^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101369594 and 101369603.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17898 + ... + 22870.

Almost surely, 2^101369632 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 101369632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125031438).

101369632 is an abundant number, since it is smaller than the sum of its proper divisors (148693244).

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

101369632 is a wasteful number, since it uses less digits than its factorization.

101369632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5010 (or 4995 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 101369632 is about 10068.2487057085. The cubic root of 101369632 is about 466.2683712666.

The spelling of 101369632 in words is "one hundred one million, three hundred sixty-nine thousand, six hundred thirty-two".