101077350 has 72 divisors (see below), whose sum is σ = 275581320. Its totient is φ = 24499200.

The previous prime is 101077349. The next prime is 101077369. The reversal of 101077350 is 53770101.

It is a self number, because there is not a number n which added to its sum of digits gives 101077350.

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 35 ways as a sum of consecutive naturals, for example, 15366 + ... + 20934.

Almost surely, 2^101077350 is an apocalyptic number.

101077350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101077350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137790660).

101077350 is an abundant number, since it is smaller than the sum of its proper divisors (174503970).

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

101077350 is a wasteful number, since it uses less digits than its factorization.

101077350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5606 (or 5590 counting only the distinct ones).

The product of its (nonzero) digits is 735, while the sum is 24.

The square root of 101077350 is about 10053.7231909378. The cubic root of 101077350 is about 465.8198048291.

The spelling of 101077350 in words is "one hundred one million, seventy-seven thousand, three hundred fifty".