101092162444 has 108 divisors (see below), whose sum is σ = 230529272400. Its totient is φ = 38613085056.

The previous prime is 101092162441. The next prime is 101092162477. The reversal of 101092162444 is 444261290101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101092162441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 907977 + ... + 1013215.

It is an arithmetic number, because the mean of its divisors is an integer number (2134530300).

Almost surely, 2^101092162444 is an apocalyptic number.

101092162444 is a gapful number since it is divisible by the number (14) 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 101092162444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115264636200).

101092162444 is an abundant number, since it is smaller than the sum of its proper divisors (129437109956).

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

101092162444 is a wasteful number, since it uses less digits than its factorization.

101092162444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105312 (or 105290 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 101092162444 in words is "one hundred one billion, ninety-two million, one hundred sixty-two thousand, four hundred forty-four".