101666670 has 192 divisors, whose sum is σ = 308883456. Its totient is φ = 21288960.

The previous prime is 101666651. The next prime is 101666683. The reversal of 101666670 is 76666101.

101666670 is a nontrivial binomial coefficient, being equal to C(14260, 2).

It is a super-2 number, since 2×101666670² = 20672223577777800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1048062 + ... + 1048158.

It is an arithmetic number, because the mean of its divisors is an integer number (1608768).

Almost surely, 2^101666670 is an apocalyptic number.

101666670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101666670 is the 14259-th triangular number and also the 7130-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101666670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154441728).

101666670 is an abundant number, since it is smaller than the sum of its proper divisors (207216786).

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

101666670 is a wasteful number, since it uses less digits than its factorization.

101666670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 101666670 is about 10082.9891401310. The cubic root of 101666670 is about 466.7233542248.

It can be divided in two parts, 10166 and 6670, that added together give a triangular number (16836 = T₁₈₃).

The spelling of 101666670 in words is "one hundred one million, six hundred sixty-six thousand, six hundred seventy".