106878460631040 has 1152 divisors, whose sum is σ = 430573756354560. Its totient is φ = 24015273984000.

The previous prime is 106878460631017. The next prime is 106878460631087. The reversal of 106878460631040 is 40136064878601.

106878460631040 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 78 + 460 + 6 + 3 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×106878460631040² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9449066985 + ... + 9449078295.

It is an arithmetic number, because the mean of its divisors is an integer number (373761941280).

Almost surely, 2^{106878460631040} is an apocalyptic number.

106878460631040 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 106878460631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215286878177280).

106878460631040 is an abundant number, since it is smaller than the sum of its proper divisors (323695295723520).

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

106878460631040 is a wasteful number, since it uses less digits than its factorization.

106878460631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11599 (or 11576 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 106878460631040 in words is "one hundred six trillion, eight hundred seventy-eight billion, four hundred sixty million, six hundred thirty-one thousand, forty".