972215230100 has 144 divisors (see below), whose sum is σ = 2196734400000. Its totient is φ = 373146808320.

The previous prime is 972215230087. The next prime is 972215230121. The reversal of 972215230100 is 1032512279.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 365081369 + ... + 365084031.

It is an arithmetic number, because the mean of its divisors is an integer number (15255100000).

Almost surely, 2^972215230100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972215230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098367200000).

972215230100 is an abundant number, since it is smaller than the sum of its proper divisors (1224519169900).

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

972215230100 is a wasteful number, since it uses less digits than its factorization.

972215230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4042 (or 4035 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

Adding to 972215230100 its reverse (1032512279), we get a palindrome (973247742379).

The spelling of 972215230100 in words is "nine hundred seventy-two billion, two hundred fifteen million, two hundred thirty thousand, one hundred".