106420737145536 has 392 divisors, whose sum is σ = 345895413008400. Its totient is φ = 32203113338880.

The previous prime is 106420737145531. The next prime is 106420737145561. The reversal of 106420737145536 is 635541737024601.

106420737145536 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 2 + 0 + 73 + 7 + 14 + 553 + 6 = 666.

It is a super-2 number, since 2×106420737145536² (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 not an unprimeable number, because it can be changed into a prime (106420737145531) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 363723910 + ... + 364016378.

Almost surely, 2^{106420737145536} is an apocalyptic number.

106420737145536 is a gapful number since it is divisible by the number (16) 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 106420737145536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172947706504200).

106420737145536 is an abundant number, since it is smaller than the sum of its proper divisors (239474675862864).

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

106420737145536 is an equidigital number, since it uses as much as digits as its factorization.

106420737145536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293219 (or 293194 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 106420737145536 in words is "one hundred six trillion, four hundred twenty billion, seven hundred thirty-seven million, one hundred forty-five thousand, five hundred thirty-six".