103026414801640 has 128 divisors (see below), whose sum is σ = 261688075574400. Its totient is φ = 36160536939520.

The previous prime is 103026414801637. The next prime is 103026414801683. The reversal of 103026414801640 is 46108414620301.

It is a super-2 number, since 2×103026414801640² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 103026414801593 and 103026414801602.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38029614 + ... + 40648546.

It is an arithmetic number, because the mean of its divisors is an integer number (2044438090425).

Almost surely, 2^{103026414801640} is an apocalyptic number.

103026414801640 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 103026414801640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130844037787200).

103026414801640 is an abundant number, since it is smaller than the sum of its proper divisors (158661660772760).

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

103026414801640 is a wasteful number, since it uses less digits than its factorization.

103026414801640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622067 (or 2622063 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 103026414801640 in words is "one hundred three trillion, twenty-six billion, four hundred fourteen million, eight hundred one thousand, six hundred forty".