106138621440 has 480 divisors, whose sum is σ = 393210788256. Its totient is φ = 26365132800.

The previous prime is 106138621343. The next prime is 106138621441. The reversal of 106138621440 is 44126831601.

106138621440 is a `hidden beast` number, since 1 + 0 + 61 + 386 + 214 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×106138621440² (a number of 23 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 = 106138621395 and 106138621404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106138621441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39558339 + ... + 39561021.

Almost surely, 2^106138621440 is an apocalyptic number.

106138621440 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 106138621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196605394128).

106138621440 is an abundant number, since it is smaller than the sum of its proper divisors (287072166816).

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

106138621440 is a wasteful number, since it uses less digits than its factorization.

106138621440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 106138621440 in words is "one hundred six billion, one hundred thirty-eight million, six hundred twenty-one thousand, four hundred forty".