101094072 has 32 divisors (see below), whose sum is σ = 252996480. Its totient is φ = 33663200.

The previous prime is 101094061. The next prime is 101094113. The reversal of 101094072 is 270490101.

It is a super-2 number, since 2×101094072² = 20440022787082368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 33373 + ... + 36275.

It is an arithmetic number, because the mean of its divisors is an integer number (7906140).

Almost surely, 2^101094072 is an apocalyptic number.

101094072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101094072 is an abundant number, since it is smaller than the sum of its proper divisors (151902408).

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

101094072 is a wasteful number, since it uses less digits than its factorization.

101094072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4363 (or 4359 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 101094072 is about 10054.5547887512. The cubic root of 101094072 is about 465.8454914584.

101094072 divided by its sum of digits (24) gives a triangular number (4212253 = T₂₉₀₂).

The spelling of 101094072 in words is "one hundred one million, ninety-four thousand, seventy-two".