101353032 has 160 divisors (see below), whose sum is σ = 316245600. Its totient is φ = 30067200.

The previous prime is 101353001. The next prime is 101353033. The reversal of 101353032 is 230353101.

101353032 is a `hidden beast` number, since 101 + 3 + 530 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 101352996 and 101353014.

It is not an unprimeable number, because it can be changed into a prime (101353033) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 420432 + ... + 420672.

It is an arithmetic number, because the mean of its divisors is an integer number (1976535).

Almost surely, 2^101353032 is an apocalyptic number.

101353032 is a gapful number since it is divisible by the number (12) 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 101353032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158122800).

101353032 is an abundant number, since it is smaller than the sum of its proper divisors (214892568).

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

101353032 is a wasteful number, since it uses less digits than its factorization.

101353032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 101353032 is about 10067.4242982006. The cubic root of 101353032 is about 466.2429182871.

It can be divided in two parts, 1013 and 53032, that added together give a palindrome (54045).

The spelling of 101353032 in words is "one hundred one million, three hundred fifty-three thousand, thirty-two".