101686429350 has 384 divisors, whose sum is σ = 315879782400. Its totient is φ = 23841100800.

The previous prime is 101686429343. The next prime is 101686429357. The reversal of 101686429350 is 53924686101.

101686429350 is a `hidden beast` number, since 10 + 168 + 6 + 429 + 3 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (101686429343) and next prime (101686429357).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 101686429296 and 101686429305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101686429357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62116732 + ... + 62118368.

It is an arithmetic number, because the mean of its divisors is an integer number (822603600).

Almost surely, 2^101686429350 is an apocalyptic number.

101686429350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101686429350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157939891200).

101686429350 is an abundant number, since it is smaller than the sum of its proper divisors (214193353050).

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

101686429350 is a wasteful number, since it uses less digits than its factorization.

101686429350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 101686429350 in words is "one hundred one billion, six hundred eighty-six million, four hundred twenty-nine thousand, three hundred fifty".