101926485948 has 384 divisors, whose sum is σ = 315183052800. Its totient is φ = 24927436800.

The previous prime is 101926485937. The next prime is 101926485949. The reversal of 101926485948 is 849584629101.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101926485949) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 221098438 + ... + 221098898.

It is an arithmetic number, because the mean of its divisors is an integer number (820789200).

Almost surely, 2^101926485948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101926485948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157591526400).

101926485948 is an abundant number, since it is smaller than the sum of its proper divisors (213256566852).

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

101926485948 is a wasteful number, since it uses less digits than its factorization.

101926485948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 57.

The spelling of 101926485948 in words is "one hundred one billion, nine hundred twenty-six million, four hundred eighty-five thousand, nine hundred forty-eight".