100820261952 has 70 divisors (see below), whose sum is σ = 298862855918. Its totient is φ = 33606752256.

The previous prime is 100820261947. The next prime is 100820261957. The reversal of 100820261952 is 259162028001.

100820261952 is a `hidden beast` number, since 10 + 0 + 8 + 20 + 2 + 619 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (100820261947) and next prime (100820261957).

It can be written as a sum of positive squares in only one way, i.e., 93503854656 + 7316407296 = 305784^2 + 85536^2 .

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

It is not an unprimeable number, because it can be changed into a prime (100820261957) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9718993 + ... + 9729360.

Almost surely, 2^100820261952 is an apocalyptic number.

100820261952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100820261952 is an abundant number, since it is smaller than the sum of its proper divisors (198042593966).

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

100820261952 is an equidigital number, since it uses as much as digits as its factorization.

100820261952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19448377 (or 19448358 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 100820261952 its reverse (259162028001), we get a palindrome (359982289953).

The spelling of 100820261952 in words is "one hundred billion, eight hundred twenty million, two hundred sixty-one thousand, nine hundred fifty-two".