101274096 has 240 divisors, whose sum is σ = 341978112. Its totient is φ = 25259520.

The previous prime is 101274077. The next prime is 101274127. The reversal of 101274096 is 690472101.

101274096 = T₁ + T₂ + ... + T₈₄₆.

It is a happy number.

101274096 is a nontrivial binomial coefficient, being equal to C(848, 3).

It is a super-3 number, since 3×101274096³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is the 846-th tetrahedral 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, 1910806 + ... + 1910858.

Almost surely, 2^101274096 is an apocalyptic number.

101274096 is a gapful number since it is divisible by the number (16) 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 101274096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170989056).

101274096 is an abundant number, since it is smaller than the sum of its proper divisors (240704016).

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

101274096 is a wasteful number, since it uses less digits than its factorization.

101274096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 101274096 is about 10063.5031673866. The cubic root of 101274096 is about 466.1218467256.

The spelling of 101274096 in words is "one hundred one million, two hundred seventy-four thousand, ninety-six".