106954650 has 288 divisors, whose sum is σ = 350977536. Its totient is φ = 23040000.

The previous prime is 106954637. The next prime is 106954663. The reversal of 106954650 is 56459601.

106954650 is a `hidden beast` number, since 1 + 0 + 69 + 546 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (106954637) and next prime (106954663).

It is a super-2 number, since 2×106954650² = 22878594313245000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2608630 + ... + 2608670.

It is an arithmetic number, because the mean of its divisors is an integer number (1218672).

Almost surely, 2^106954650 is an apocalyptic number.

106954650 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 106954650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175488768).

106954650 is an abundant number, since it is smaller than the sum of its proper divisors (244022886).

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

106954650 is a wasteful number, since it uses less digits than its factorization.

106954650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 106954650 is about 10341.8881254827. Note that the first 3 decimals coincide. The cubic root of 106954650 is about 474.6788595696.

The spelling of 106954650 in words is "one hundred six million, nine hundred fifty-four thousand, six hundred fifty".