101667911616 has 224 divisors, whose sum is σ = 302384033280. Its totient is φ = 33494372352.

The previous prime is 101667911603. The next prime is 101667911629. The reversal of 101667911616 is 616119766101.

101667911616 is a `hidden beast` number, since 1 + 0 + 16 + 6 + 7 + 9 + 11 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (101667911603) and next prime (101667911629).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114619525 + ... + 114620411.

It is an arithmetic number, because the mean of its divisors is an integer number (1349928720).

Almost surely, 2^101667911616 is an apocalyptic number.

101667911616 is a gapful number since it is divisible by the number (16) 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 101667911616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151192016640).

101667911616 is an abundant number, since it is smaller than the sum of its proper divisors (200716121664).

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

101667911616 is a wasteful number, since it uses less digits than its factorization.

101667911616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 101667911616 in words is "one hundred one billion, six hundred sixty-seven million, nine hundred eleven thousand, six hundred sixteen".