103614105426340 has 192 divisors, whose sum is σ = 235042302313728. Its totient is φ = 38228447232000.

The previous prime is 103614105426329. The next prime is 103614105426361. The reversal of 103614105426340 is 43624501416301.

It is a super-3 number, since 3×103614105426340³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103614105426293 and 103614105426302.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2048210527 + ... + 2048261113.

It is an arithmetic number, because the mean of its divisors is an integer number (1224178657884).

Almost surely, 2^{103614105426340} is an apocalyptic number.

103614105426340 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 103614105426340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117521151156864).

103614105426340 is an abundant number, since it is smaller than the sum of its proper divisors (131428196887388).

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

103614105426340 is a wasteful number, since it uses less digits than its factorization.

103614105426340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51278 (or 51276 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 103614105426340 in words is "one hundred three trillion, six hundred fourteen billion, one hundred five million, four hundred twenty-six thousand, three hundred forty".