997950100 has 72 divisors (see below), whose sum is σ = 2480744000. Its totient is φ = 341349120.

The previous prime is 997950073. The next prime is 997950103. The reversal of 997950100 is 1059799.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997950103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347872 + ... + 350728.

Almost surely, 2^997950100 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 997950100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240372000).

997950100 is an abundant number, since it is smaller than the sum of its proper divisors (1482793900).

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

997950100 is a wasteful number, since it uses less digits than its factorization.

997950100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3377 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 25515, while the sum is 40.

The square root of 997950100 is about 31590.3482095402. The cubic root of 997950100 is about 999.3162325687.

The spelling of 997950100 in words is "nine hundred ninety-seven million, nine hundred fifty thousand, one hundred".