103626054540 has 192 divisors, whose sum is σ = 326895246720. Its totient is φ = 27249868800.

The previous prime is 103626054533. The next prime is 103626054593. The reversal of 103626054540 is 45450626301.

103626054540 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 2 + 60 + 54 + 540 = 666.

It is a super-3 number, since 3×103626054540³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 103626054495 and 103626054504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14013084 + ... + 14020476.

It is an arithmetic number, because the mean of its divisors is an integer number (1702579410).

Almost surely, 2^103626054540 is an apocalyptic number.

103626054540 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 103626054540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163447623360).

103626054540 is an abundant number, since it is smaller than the sum of its proper divisors (223269192180).

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

103626054540 is a wasteful number, since it uses less digits than its factorization.

103626054540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7769 (or 7761 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 103626054540 in words is "one hundred three billion, six hundred twenty-six million, fifty-four thousand, five hundred forty".