104064956451000 has 192 divisors, whose sum is σ = 351774709715520. Its totient is φ = 27747881337600.

The previous prime is 104064956450971. The next prime is 104064956451097. The reversal of 104064956451000 is 154659460401.

104064956451000 is a `hidden beast` number, since 1 + 0 + 40 + 6 + 4 + 95 + 6 + 4 + 510 + 0 + 0 = 666.

It is a super-2 number, since 2×104064956451000² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90264189 + ... + 91409811.

It is an arithmetic number, because the mean of its divisors is an integer number (1832159946435).

Almost surely, 2^{104064956451000} is an apocalyptic number.

104064956451000 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 104064956451000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175887354857760).

104064956451000 is an abundant number, since it is smaller than the sum of its proper divisors (247709753264520).

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

104064956451000 is a wasteful number, since it uses less digits than its factorization.

104064956451000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155743 (or 1155726 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 104064956451000 in words is "one hundred four trillion, sixty-four billion, nine hundred fifty-six million, four hundred fifty-one thousand".