97105951488 has 864 divisors, whose sum is σ = 352842147840. Its totient is φ = 23410114560.

The previous prime is 97105951487. The next prime is 97105951541. The reversal of 97105951488 is 88415950179.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97105951483) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 288148056 + ... + 288148392.

Almost surely, 2^97105951488 is an apocalyptic number.

97105951488 is a gapful number since it is divisible by the number (98) 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 97105951488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176421073920).

97105951488 is an abundant number, since it is smaller than the sum of its proper divisors (255736196352).

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

97105951488 is a wasteful number, since it uses less digits than its factorization.

97105951488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 57.

The spelling of 97105951488 in words is "ninety-seven billion, one hundred five million, nine hundred fifty-one thousand, four hundred eighty-eight".