97229078100 has 1296 divisors, whose sum is σ = 414213072000. Its totient is φ = 19000396800.

The previous prime is 97229077999. The next prime is 97229078113. The reversal of 97229078100 is 187092279.

It is a super-2 number, since 2×97229078100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 709701232 + ... + 709701368.

Almost surely, 2^97229078100 is an apocalyptic number.

97229078100 is a gapful number since it is divisible by the number (90) 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 97229078100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207106536000).

97229078100 is an abundant number, since it is smaller than the sum of its proper divisors (316983993900).

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

97229078100 is a wasteful number, since it uses less digits than its factorization.

97229078100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 97229078100 in words is "ninety-seven billion, two hundred twenty-nine million, seventy-eight thousand, one hundred".