106109021053440 has 240 divisors, whose sum is σ = 381095955047808. Its totient is φ = 28295738781696.

The previous prime is 106109021053421. The next prime is 106109021053513. The reversal of 106109021053440 is 44350120901601.

It is a happy number.

106109021053440 is a `hidden beast` number, since 1 + 0 + 6 + 10 + 90 + 21 + 0 + 534 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×106109021053440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106109021053395 and 106109021053404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84663592 + ... + 85907751.

Almost surely, 2^{106109021053440} is an apocalyptic number.

106109021053440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106109021053440 is an abundant number, since it is smaller than the sum of its proper divisors (274986933994368).

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

106109021053440 is an frugal number, since it uses more digits than its factorization.

106109021053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170571381 (or 170571353 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 106109021053440 in words is "one hundred six trillion, one hundred nine billion, twenty-one million, fifty-three thousand, four hundred forty".