101278772 has 12 divisors (see below), whose sum is σ = 202557600. Its totient is φ = 43405176.

The previous prime is 101278763. The next prime is 101278777. The reversal of 101278772 is 277872101.

101278772 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101278777) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1808522 + ... + 1808577.

It is an arithmetic number, because the mean of its divisors is an integer number (16879800).

Almost surely, 2^101278772 is an apocalyptic number.

It is an amenable number.

101278772 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

101278772 is a wasteful number, since it uses less digits than its factorization.

101278772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3617110 (or 3617108 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 35.

The square root of 101278772 is about 10063.7354893697. The cubic root of 101278772 is about 466.1290204988.

Subtracting from 101278772 its product of nonzero digits (10976), we obtain a triangular number (101267796 = T₁₄₂₃₁).

The spelling of 101278772 in words is "one hundred one million, two hundred seventy-eight thousand, seven hundred seventy-two".