100020759552 has 308 divisors, whose sum is σ = 342622045456. Its totient is φ = 28575866880.

The previous prime is 100020759539. The next prime is 100020759577. The reversal of 100020759552 is 255957020001.

100020759552 is a `hidden beast` number, since 10 + 0 + 0 + 2 + 0 + 7 + 595 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5215902 + ... + 5235042.

Almost surely, 2^100020759552 is an apocalyptic number.

100020759552 is a gapful number since it is divisible by the number (12) 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 100020759552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171311022728).

100020759552 is an abundant number, since it is smaller than the sum of its proper divisors (242601285904).

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

100020759552 is an frugal number, since it uses more digits than its factorization.

100020759552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19186 (or 19153 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

Adding to 100020759552 its reverse (255957020001), we get a palindrome (355977779553).

The spelling of 100020759552 in words is "one hundred billion, twenty million, seven hundred fifty-nine thousand, five hundred fifty-two".