103106198417040 has 2880 divisors, whose sum is σ = 477676565743104. Its totient is φ = 20415960907776.

The previous prime is 103106198417021. The next prime is 103106198417051. The reversal of 103106198417040 is 40714891601301.

103106198417040 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 0 + 6 + 198 + 417 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 136203696342 + ... + 136203697098.

Almost surely, 2^{103106198417040} is an apocalyptic number.

103106198417040 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 103106198417040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238838282871552).

103106198417040 is an abundant number, since it is smaller than the sum of its proper divisors (374570367326064).

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

103106198417040 is a wasteful number, since it uses less digits than its factorization.

103106198417040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 103106198417040 in words is "one hundred three trillion, one hundred six billion, one hundred ninety-eight million, four hundred seventeen thousand, forty".