106197461370 has 960 divisors, whose sum is σ = 395810553600. Its totient is φ = 20369543040.

The previous prime is 106197461369. The next prime is 106197461371. The reversal of 106197461370 is 73164791601.

106197461370 is a `hidden beast` number, since 10 + 6 + 19 + 7 + 4 + 613 + 7 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (106197461369) and next prime (106197461371).

It is a super-2 number, since 2×106197461370² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106197461371) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 8169035484 + ... + 8169035496.

It is an arithmetic number, because the mean of its divisors is an integer number (412302660).

Almost surely, 2^106197461370 is an apocalyptic number.

106197461370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106197461370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197905276800).

106197461370 is an abundant number, since it is smaller than the sum of its proper divisors (289613092230).

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

106197461370 is an frugal number, since it uses more digits than its factorization.

106197461370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 106197461370 in words is "one hundred six billion, one hundred ninety-seven million, four hundred sixty-one thousand, three hundred seventy".