101053008 has 240 divisors, whose sum is σ = 346644480. Its totient is φ = 27900288.

The previous prime is 101052997. The next prime is 101053013. The reversal of 101053008 is 800350101.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1279113 + ... + 1279191.

It is an arithmetic number, because the mean of its divisors is an integer number (1444352).

Almost surely, 2^101053008 is an apocalyptic number.

101053008 is a gapful number since it is divisible by the number (18) 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 101053008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173322240).

101053008 is an abundant number, since it is smaller than the sum of its proper divisors (245591472).

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

101053008 is an equidigital number, since it uses as much as digits as its factorization.

101053008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 101053008 is about 10052.5125217530. The cubic root of 101053008 is about 465.7824080695.

The spelling of 101053008 in words is "one hundred one million, fifty-three thousand, eight".