106010100550560 has 384 divisors, whose sum is σ = 367337108436480. Its totient is φ = 25578726096896.

The previous prime is 106010100550559. The next prime is 106010100550561. The reversal of 106010100550560 is 65055001010601.

It is an interprime number because it is at equal distance from previous prime (106010100550559) and next prime (106010100550561).

It is a super-2 number, since 2×106010100550560² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (106010100550561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54175789 + ... + 56098451.

It is an arithmetic number, because the mean of its divisors is an integer number (956607053220).

Almost surely, 2^{106010100550560} is an apocalyptic number.

106010100550560 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 106010100550560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183668554218240).

106010100550560 is an abundant number, since it is smaller than the sum of its proper divisors (261327007885920).

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

106010100550560 is a wasteful number, since it uses less digits than its factorization.

106010100550560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922960 (or 1922952 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 106010100550560 in words is "one hundred six trillion, ten billion, one hundred million, five hundred fifty thousand, five hundred sixty".