101350728 has 48 divisors (see below), whose sum is σ = 275371980. Its totient is φ = 33675264.

The previous prime is 101350723. The next prime is 101350757. The reversal of 101350728 is 827053101.

It can be written as a sum of positive squares in 2 ways, for example, as 99560484 + 1790244 = 9978^2 + 1338^2 .

It is a super-2 number, since 2×101350728² = 20543940132259968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101350723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22176 + ... + 26352.

Almost surely, 2^101350728 is an apocalyptic number.

101350728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101350728 is an abundant number, since it is smaller than the sum of its proper divisors (174021252).

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

101350728 is a wasteful number, since it uses less digits than its factorization.

101350728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4526 (or 4519 counting only the distinct ones).

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

The square root of 101350728 is about 10067.3098690762. The cubic root of 101350728 is about 466.2393853166.

The spelling of 101350728 in words is "one hundred one million, three hundred fifty thousand, seven hundred twenty-eight".