101554312356 has 192 divisors, whose sum is σ = 305413785600. Its totient is φ = 28582492032.

The previous prime is 101554312339. The next prime is 101554312357. The reversal of 101554312356 is 653213455101.

101554312356 is a `hidden beast` number, since 1 + 0 + 1 + 554 + 31 + 23 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101554312356.

It is not an unprimeable number, because it can be changed into a prime (101554312357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23402835 + ... + 23407173.

It is an arithmetic number, because the mean of its divisors is an integer number (1590696800).

Almost surely, 2^101554312356 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 101554312356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152706892800).

101554312356 is an abundant number, since it is smaller than the sum of its proper divisors (203859473244).

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

101554312356 is a wasteful number, since it uses less digits than its factorization.

101554312356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4815 (or 4807 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 101554312356 its reverse (653213455101), we get a palindrome (754767767457).

The spelling of 101554312356 in words is "one hundred one billion, five hundred fifty-four million, three hundred twelve thousand, three hundred fifty-six".