901106052 has 192 divisors, whose sum is σ = 2767564800. Its totient is φ = 221253120.

The previous prime is 901106039. The next prime is 901106057. The reversal of 901106052 is 250601109.

901106052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (901106057) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2316274 + ... + 2316662.

It is an arithmetic number, because the mean of its divisors is an integer number (14414400).

Almost surely, 2^901106052 is an apocalyptic number.

901106052 is a gapful number since it is divisible by the number (92) 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 901106052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383782400).

901106052 is an abundant number, since it is smaller than the sum of its proper divisors (1866458748).

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

901106052 is a wasteful number, since it uses less digits than its factorization.

901106052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 901106052 is about 30018.4285398153. The cubic root of 901106052 is about 965.8847343489.

It can be divided in two parts, 901 and 106052, that added together give a triangular number (106953 = T₄₆₂).

The spelling of 901106052 in words is "nine hundred one million, one hundred six thousand, fifty-two".