99967101696 has 1152 divisors, whose sum is σ = 390313082880. Its totient is φ = 24485068800.

The previous prime is 99967101677. The next prime is 99967101737. The reversal of 99967101696 is 69610176999.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1204422871 + ... + 1204422953.

It is an arithmetic number, because the mean of its divisors is an integer number (338813440).

Almost surely, 2^99967101696 is an apocalyptic number.

99967101696 is a gapful number since it is divisible by the number (96) 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 99967101696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195156541440).

99967101696 is an abundant number, since it is smaller than the sum of its proper divisors (290345981184).

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

99967101696 is a wasteful number, since it uses less digits than its factorization.

99967101696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 9920232, while the sum is 63.

The spelling of 99967101696 in words is "ninety-nine billion, nine hundred sixty-seven million, one hundred one thousand, six hundred ninety-six".