101004072 has 128 divisors (see below), whose sum is σ = 292118400. Its totient is φ = 28827648.

The previous prime is 101004049. The next prime is 101004073. The reversal of 101004072 is 270400101.

It is not an unprimeable number, because it can be changed into a prime (101004073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 726579 + ... + 726717.

It is an arithmetic number, because the mean of its divisors is an integer number (2282175).

Almost surely, 2^101004072 is an apocalyptic number.

101004072 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 101004072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146059200).

101004072 is an abundant number, since it is smaller than the sum of its proper divisors (191114328).

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

101004072 is a wasteful number, since it uses less digits than its factorization.

101004072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 101004072 is about 10050.0782086509. The cubic root of 101004072 is about 465.7072092252.

Adding to 101004072 its reverse (270400101), we get a palindrome (371404173).

The spelling of 101004072 in words is "one hundred one million, four thousand, seventy-two".