101426688 has 320 divisors, whose sum is σ = 353548800. Its totient is φ = 28385280.

The previous prime is 101426681. The next prime is 101426701. The reversal of 101426688 is 886624101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101426681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3497458 + ... + 3497486.

It is an arithmetic number, because the mean of its divisors is an integer number (1104840).

Almost surely, 2^101426688 is an apocalyptic number.

101426688 is a gapful number since it is divisible by the number (18) 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 101426688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176774400).

101426688 is an abundant number, since it is smaller than the sum of its proper divisors (252122112).

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

101426688 is a wasteful number, since it uses less digits than its factorization.

101426688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 101426688 is about 10071.0817691050. The cubic root of 101426688 is about 466.3558347340.

The spelling of 101426688 in words is "one hundred one million, four hundred twenty-six thousand, six hundred eighty-eight".