101554053440 has 112 divisors (see below), whose sum is σ = 276460086144. Its totient is φ = 34807449600.

The previous prime is 101554053409. The next prime is 101554053457. The reversal of 101554053440 is 44350455101.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 101554053397 and 101554053406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10346135 + ... + 10355945.

Almost surely, 2^101554053440 is an apocalyptic number.

101554053440 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 101554053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138230043072).

101554053440 is an abundant number, since it is smaller than the sum of its proper divisors (174906032704).

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

101554053440 is an equidigital number, since it uses as much as digits as its factorization.

101554053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14456 (or 14446 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 101554053440 in words is "one hundred one billion, five hundred fifty-four million, fifty-three thousand, four hundred forty".