100252771050 has 96 divisors (see below), whose sum is σ = 253261540224. Its totient is φ = 26237664000.

The previous prime is 100252771049. The next prime is 100252771051. The reversal of 100252771050 is 50177252001.

100252771050 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (100252771049) and next prime (100252771051).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 100252770999 and 100252771017.

It is not an unprimeable number, because it can be changed into a prime (100252771051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4206267 + ... + 4230033.

It is an arithmetic number, because the mean of its divisors is an integer number (2638141044).

Almost surely, 2^100252771050 is an apocalyptic number.

100252771050 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 100252771050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126630770112).

100252771050 is an abundant number, since it is smaller than the sum of its proper divisors (153008769174).

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

100252771050 is a wasteful number, since it uses less digits than its factorization.

100252771050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24304 (or 24299 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 30.

The spelling of 100252771050 in words is "one hundred billion, two hundred fifty-two million, seven hundred seventy-one thousand, fifty".