97548551100 has 1440 divisors, whose sum is σ = 434483191296. Its totient is φ = 18276710400.

The previous prime is 97548551083. The next prime is 97548551101. The reversal of 97548551100 is 115584579.

97548551100 is a `hidden beast` number, since 9 + 7 + 54 + 85 + 511 + 0 + 0 = 666.

It is a super-2 number, since 2×97548551100² (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 not an unprimeable number, because it can be changed into a prime (97548551101) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 429729187 + ... + 429729413.

Almost surely, 2^97548551100 is an apocalyptic number.

97548551100 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 97548551100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217241595648).

97548551100 is an abundant number, since it is smaller than the sum of its proper divisors (336934640196).

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

97548551100 is a wasteful number, since it uses less digits than its factorization.

97548551100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 97548551100 in words is "ninety-seven billion, five hundred forty-eight million, five hundred fifty-one thousand, one hundred".