101923429608 has 1152 divisors, whose sum is σ = 411109171200. Its totient is φ = 22404211200.

The previous prime is 101923429591. The next prime is 101923429633. The reversal of 101923429608 is 806924329101.

101923429608 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 2 + 34 + 2 + 9 + 608 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3287852553 + ... + 3287852583.

It is an arithmetic number, because the mean of its divisors is an integer number (356865600).

Almost surely, 2^101923429608 is an apocalyptic number.

101923429608 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 101923429608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205554585600).

101923429608 is an abundant number, since it is smaller than the sum of its proper divisors (309185741592).

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

101923429608 is a wasteful number, since it uses less digits than its factorization.

101923429608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 101923429608 in words is "one hundred one billion, nine hundred twenty-three million, four hundred twenty-nine thousand, six hundred eight".