101853072 has 80 divisors (see below), whose sum is σ = 307768000. Its totient is φ = 32161536.

The previous prime is 101853067. The next prime is 101853077. The reversal of 101853072 is 270358101.

It is an interprime number because it is at equal distance from previous prime (101853067) and next prime (101853077).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101853077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2004 + ... + 14412.

It is an arithmetic number, because the mean of its divisors is an integer number (3847100).

Almost surely, 2^101853072 is an apocalyptic number.

101853072 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 101853072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153884000).

101853072 is an abundant number, since it is smaller than the sum of its proper divisors (205914928).

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

101853072 is a wasteful number, since it uses less digits than its factorization.

101853072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12445 (or 12433 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 101853072 is about 10092.2282970611. The cubic root of 101853072 is about 467.0084199580.

The spelling of 101853072 in words is "one hundred one million, eight hundred fifty-three thousand, seventy-two".