106373005885440 has 2400 divisors, whose sum is σ = 466154729187840. Its totient is φ = 22651733016576.

The previous prime is 106373005885411. The next prime is 106373005885493. The reversal of 106373005885440 is 44588500373601.

106373005885440 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 7 + 3 + 0 + 0 + 588 + 54 + 4 + 0 = 666.

It is a Cunningham number, because it is equal to 10313729²-1.

It is a super-2 number, since 2×106373005885440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 84490075531 + ... + 84490076789.

Almost surely, 2^{106373005885440} is an apocalyptic number.

106373005885440 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 106373005885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233077364593920).

106373005885440 is an abundant number, since it is smaller than the sum of its proper divisors (359781723302400).

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

106373005885440 is a wasteful number, since it uses less digits than its factorization.

106373005885440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 106373005885440 in words is "one hundred six trillion, three hundred seventy-three billion, five million, eight hundred eighty-five thousand, four hundred forty".