101689923400 has 384 divisors, whose sum is σ = 278520923520. Its totient is φ = 34188410880.

The previous prime is 101689923371. The next prime is 101689923403. The reversal of 101689923400 is 4329986101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101689923403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 194435539 + ... + 194436061.

It is an arithmetic number, because the mean of its divisors is an integer number (725314905).

Almost surely, 2^101689923400 is an apocalyptic number.

101689923400 is a gapful number since it is divisible by the number (10) 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 101689923400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139260461760).

101689923400 is an abundant number, since it is smaller than the sum of its proper divisors (176831000120).

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

101689923400 is a wasteful number, since it uses less digits than its factorization.

101689923400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 101689923400 in words is "one hundred one billion, six hundred eighty-nine million, nine hundred twenty-three thousand, four hundred".