106735448155554 has 128 divisors (see below), whose sum is σ = 245209736217600. Its totient is φ = 34388913346560.

The previous prime is 106735448155543. The next prime is 106735448155561. The reversal of 106735448155554 is 455551844537601.

106735448155554 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 3 + 54 + 481 + 5 + 55 + 54 = 666.

It is a super-2 number, since 2×106735448155554² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106735448155491 and 106735448155500.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196669879 + ... + 197211845.

It is an arithmetic number, because the mean of its divisors is an integer number (1915701064200).

Almost surely, 2^{106735448155554} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106735448155554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122604868108800).

106735448155554 is an abundant number, since it is smaller than the sum of its proper divisors (138474288062046).

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

106735448155554 is a wasteful number, since it uses less digits than its factorization.

106735448155554 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542665 (or 542659 counting only the distinct ones).

The product of its (nonzero) digits is 201600000, while the sum is 63.

The spelling of 106735448155554 in words is "one hundred six trillion, seven hundred thirty-five billion, four hundred forty-eight million, one hundred fifty-five thousand, five hundred fifty-four".